Construir permutaciones de conjuntos de datos de personas y de nombres de equipos deportivos
A partir de conjuntos datos (valores individuales) realizar permutaciones para conocer el número de las mismas y el acomodo de los valores para su interpretación en términos de probabilidad.
La diferencias entre permutaciones y combinaciones tiene que ver con la cantidad o el número de eventos.
Al hacer permutaciones, si importa el orden en que se acomodan los elementos, es decir en que columna aparecen, en la primera, segunda, tercera y y sucesivamente.
Para identificar el orden, se puede decir que no es lo mismo “Oscar”, “Paco” que “Paco”, “Oscar”, están a la inversa o el orden está invertido. Eso es una diferencia con las combinaciones, son los mismos elementos pero el orden en que se acomodan o en que aparecen los elementos está diferente.
Se deben hacer las siguientes acciones:
Cargar librerías
Cargar los datos
Identificar fórmula de factorial
Identificar fórmula de permutaciones
Determinar probabilidades a partir del espacio muestral de las combinaciones
Encontrar probabilidad con base en frecuencia o contabilizar eventos específicos del espacio muestral
Interpretar el caso
Se van a utilizar funciones de la librería “gtools” por lo que se necesario instalarla previamente: install.packages(“gtools”).
Esta librería permitirá hacer combinaciones y permutaciones.
# install.packages("gtools")
library(gtools)Para hacer permutaciones es necesario identificar la importancia del valor factorial de un número
El factorial de un número es el producto de \(n\) por todos los naturales menores que el y se representa con el \(!n\), entonces \(n!=n\times(n-1)...\times 1\)
La función factorial es una fórmula matemática representada por el signo de exclamación \(!\). En la fórmula Factorial se deben multiplicar todos los números enteros y positivos que hay entre el número que aparece en la fórmula y el número \(1\).
Ejemplo: hallar el factorial de 6 o se sea \(6!=6\times5\times4\times3\times2\times1=720\)
La regla de conteo de permutaciones permite calcular el número de resultados experimentales cuando se seleccionan cierto número objetos de un conjunto de \(n\) objetos y el orden de selección es relevante.
Los mismos \(r\) objetos seleccionados en orden diferente se consideran un resultado experimental diferente.
\[ S=Pn\binom{n}{r} = \frac{n!}{(n-r)!}\\S \text{ es el espacio muestral y la cantidad de permutaciones} \\Pn \text{ es el número de permutaciones posibles}\\ \binom{n}{r} \text {es símbolo de permutar n elementos en grupos de r}\\ n \text{ es el total de elementos}\\ r \text{ es de cuantos en cuantos elementos se hacen grupos y permutaciones} \]
Se trata de hacer permutaciones con los nombres de cuatro personas: “Oscar”, “Paco”, “Paty”, “Laura”, “Rubén”, “Luis”, “Lucy”, “Alberto”, “Juan” en grupos de 2.
Entonces \(n=9\), porque hay cuatro nombres o elementos y \(r=2\) porque se trata de agrupar o permutar de dos en dos.
¿Cuántas permutaciones deberá haber?
Oscar y Paco
Paco y Oscar
Oscar y Paty
Paty y Oscar
Oscar y Laura
Laura y Oscar
Paco y Paty
Paty y Paco
… …
… …
Paty y Laura
Laura y Paty
nombres <- c("Oscar", "Paco", "Paty", "Laura", "Rubén", "Luis", "Lucy", "Alberto", "Juan", "luis", "miguel", "angel","thaily","vianney")
n <- length(nombres)
r <- 2 # ¿cómo agrupar o permutar?
Pn <- factorial(n) / factorial(n-r)
paste("Existen ", Pn , " posibles permutaciones del total de ", n , " nombres ", " en grupos de ", r ," en ", r)## [1] "Existen 182 posibles permutaciones del total de 14 nombres en grupos de 2 en 2"Se trata de hacer combinaciones con los nombres de seis equipos de fútbol: “Atlas”, “Guadalajara”, “Monterrey”, “América”, “Cruz Azul”, “Santos” en grupos de 5. Entonces \(n=9\), porque hay seis equipos o elementos y \(r=5\) porque se trata de agrupar de tres en tres.
¿Cuántas permutaciones deberá haber?
equipos <- c("coca-cola", "barcel", "sabritas", "pepsi", "pond's", "stefano", "google", "amazon", "lenovo")
n <- length(equipos)
r <- 5 # ¿cómo agrupar?
Pn <- factorial(n) / (factorial(r) * factorial(n-r))
paste("Existen ", Pn , " posibles combinaciones del total de ", n , " marcas ", " en grupos de ", r ," en ", r)## [1] "Existen 126 posibles combinaciones del total de 9 marcas en grupos de 5 en 5"Si bien la fórmula de permutaciones indica el número de permutaciones posibles de un conjunto de elementos pero lo que se desea conocer es ¿cómo se forman o cómo se verían los grupos?.
Se utiliza la función permutation
Se utiliza la función permutation() y se requiere por lo menos tres atributos:
La cantidad de elementos n
Los grupos de cuanto en cuanto se forman r
y los elementos, o sea en este caso el vector v
Se muestran las posibles permutaciones de los nombres de personas. Las función permutations() ordena los valores alfabéticamente y luego construye las combinaciones.
nombres## [1] "Oscar" "Paco" "Paty" "Laura" "Rubén" "Luis" "Lucy"
## [8] "Alberto" "Juan" "luis" "miguel" "angel" "thaily" "vianney"Pern.nombres <- permutations(n = length(nombres), r = 2, v = nombres)
Pern.nombres## [,1] [,2]
## [1,] "Alberto" "angel"
## [2,] "Alberto" "Juan"
## [3,] "Alberto" "Laura"
## [4,] "Alberto" "Lucy"
## [5,] "Alberto" "luis"
## [6,] "Alberto" "Luis"
## [7,] "Alberto" "miguel"
## [8,] "Alberto" "Oscar"
## [9,] "Alberto" "Paco"
## [10,] "Alberto" "Paty"
## [11,] "Alberto" "Rubén"
## [12,] "Alberto" "thaily"
## [13,] "Alberto" "vianney"
## [14,] "angel" "Alberto"
## [15,] "angel" "Juan"
## [16,] "angel" "Laura"
## [17,] "angel" "Lucy"
## [18,] "angel" "luis"
## [19,] "angel" "Luis"
## [20,] "angel" "miguel"
## [21,] "angel" "Oscar"
## [22,] "angel" "Paco"
## [23,] "angel" "Paty"
## [24,] "angel" "Rubén"
## [25,] "angel" "thaily"
## [26,] "angel" "vianney"
## [27,] "Juan" "Alberto"
## [28,] "Juan" "angel"
## [29,] "Juan" "Laura"
## [30,] "Juan" "Lucy"
## [31,] "Juan" "luis"
## [32,] "Juan" "Luis"
## [33,] "Juan" "miguel"
## [34,] "Juan" "Oscar"
## [35,] "Juan" "Paco"
## [36,] "Juan" "Paty"
## [37,] "Juan" "Rubén"
## [38,] "Juan" "thaily"
## [39,] "Juan" "vianney"
## [40,] "Laura" "Alberto"
## [41,] "Laura" "angel"
## [42,] "Laura" "Juan"
## [43,] "Laura" "Lucy"
## [44,] "Laura" "luis"
## [45,] "Laura" "Luis"
## [46,] "Laura" "miguel"
## [47,] "Laura" "Oscar"
## [48,] "Laura" "Paco"
## [49,] "Laura" "Paty"
## [50,] "Laura" "Rubén"
## [51,] "Laura" "thaily"
## [52,] "Laura" "vianney"
## [53,] "Lucy" "Alberto"
## [54,] "Lucy" "angel"
## [55,] "Lucy" "Juan"
## [56,] "Lucy" "Laura"
## [57,] "Lucy" "luis"
## [58,] "Lucy" "Luis"
## [59,] "Lucy" "miguel"
## [60,] "Lucy" "Oscar"
## [61,] "Lucy" "Paco"
## [62,] "Lucy" "Paty"
## [63,] "Lucy" "Rubén"
## [64,] "Lucy" "thaily"
## [65,] "Lucy" "vianney"
## [66,] "luis" "Alberto"
## [67,] "luis" "angel"
## [68,] "luis" "Juan"
## [69,] "luis" "Laura"
## [70,] "luis" "Lucy"
## [71,] "luis" "Luis"
## [72,] "luis" "miguel"
## [73,] "luis" "Oscar"
## [74,] "luis" "Paco"
## [75,] "luis" "Paty"
## [76,] "luis" "Rubén"
## [77,] "luis" "thaily"
## [78,] "luis" "vianney"
## [79,] "Luis" "Alberto"
## [80,] "Luis" "angel"
## [81,] "Luis" "Juan"
## [82,] "Luis" "Laura"
## [83,] "Luis" "Lucy"
## [84,] "Luis" "luis"
## [85,] "Luis" "miguel"
## [86,] "Luis" "Oscar"
## [87,] "Luis" "Paco"
## [88,] "Luis" "Paty"
## [89,] "Luis" "Rubén"
## [90,] "Luis" "thaily"
## [91,] "Luis" "vianney"
## [92,] "miguel" "Alberto"
## [93,] "miguel" "angel"
## [94,] "miguel" "Juan"
## [95,] "miguel" "Laura"
## [96,] "miguel" "Lucy"
## [97,] "miguel" "luis"
## [98,] "miguel" "Luis"
## [99,] "miguel" "Oscar"
## [100,] "miguel" "Paco"
## [101,] "miguel" "Paty"
## [102,] "miguel" "Rubén"
## [103,] "miguel" "thaily"
## [104,] "miguel" "vianney"
## [105,] "Oscar" "Alberto"
## [106,] "Oscar" "angel"
## [107,] "Oscar" "Juan"
## [108,] "Oscar" "Laura"
## [109,] "Oscar" "Lucy"
## [110,] "Oscar" "luis"
## [111,] "Oscar" "Luis"
## [112,] "Oscar" "miguel"
## [113,] "Oscar" "Paco"
## [114,] "Oscar" "Paty"
## [115,] "Oscar" "Rubén"
## [116,] "Oscar" "thaily"
## [117,] "Oscar" "vianney"
## [118,] "Paco" "Alberto"
## [119,] "Paco" "angel"
## [120,] "Paco" "Juan"
## [121,] "Paco" "Laura"
## [122,] "Paco" "Lucy"
## [123,] "Paco" "luis"
## [124,] "Paco" "Luis"
## [125,] "Paco" "miguel"
## [126,] "Paco" "Oscar"
## [127,] "Paco" "Paty"
## [128,] "Paco" "Rubén"
## [129,] "Paco" "thaily"
## [130,] "Paco" "vianney"
## [131,] "Paty" "Alberto"
## [132,] "Paty" "angel"
## [133,] "Paty" "Juan"
## [134,] "Paty" "Laura"
## [135,] "Paty" "Lucy"
## [136,] "Paty" "luis"
## [137,] "Paty" "Luis"
## [138,] "Paty" "miguel"
## [139,] "Paty" "Oscar"
## [140,] "Paty" "Paco"
## [141,] "Paty" "Rubén"
## [142,] "Paty" "thaily"
## [143,] "Paty" "vianney"
## [144,] "Rubén" "Alberto"
## [145,] "Rubén" "angel"
## [146,] "Rubén" "Juan"
## [147,] "Rubén" "Laura"
## [148,] "Rubén" "Lucy"
## [149,] "Rubén" "luis"
## [150,] "Rubén" "Luis"
## [151,] "Rubén" "miguel"
## [152,] "Rubén" "Oscar"
## [153,] "Rubén" "Paco"
## [154,] "Rubén" "Paty"
## [155,] "Rubén" "thaily"
## [156,] "Rubén" "vianney"
## [157,] "thaily" "Alberto"
## [158,] "thaily" "angel"
## [159,] "thaily" "Juan"
## [160,] "thaily" "Laura"
## [161,] "thaily" "Lucy"
## [162,] "thaily" "luis"
## [163,] "thaily" "Luis"
## [164,] "thaily" "miguel"
## [165,] "thaily" "Oscar"
## [166,] "thaily" "Paco"
## [167,] "thaily" "Paty"
## [168,] "thaily" "Rubén"
## [169,] "thaily" "vianney"
## [170,] "vianney" "Alberto"
## [171,] "vianney" "angel"
## [172,] "vianney" "Juan"
## [173,] "vianney" "Laura"
## [174,] "vianney" "Lucy"
## [175,] "vianney" "luis"
## [176,] "vianney" "Luis"
## [177,] "vianney" "miguel"
## [178,] "vianney" "Oscar"
## [179,] "vianney" "Paco"
## [180,] "vianney" "Paty"
## [181,] "vianney" "Rubén"
## [182,] "vianney" "thaily"Se muestran las posibles combinaciones de los nombres de equipos de fútbol.
equipos## [1] "coca-cola" "barcel" "sabritas" "pepsi" "pond's" "stefano"
## [7] "google" "amazon" "lenovo"Pern.equipos <- permutations(n = length(equipos), r = 5, v = equipos)Se muestran solo los primeras diez y últimas diez permutaciones de equipos
head(Pern.equipos)## [,1] [,2] [,3] [,4] [,5]
## [1,] "amazon" "barcel" "coca-cola" "google" "lenovo"
## [2,] "amazon" "barcel" "coca-cola" "google" "pepsi"
## [3,] "amazon" "barcel" "coca-cola" "google" "pond's"
## [4,] "amazon" "barcel" "coca-cola" "google" "sabritas"
## [5,] "amazon" "barcel" "coca-cola" "google" "stefano"
## [6,] "amazon" "barcel" "coca-cola" "lenovo" "google"tail(Pern.equipos)## [,1] [,2] [,3] [,4] [,5]
## [15115,] "stefano" "sabritas" "pond's" "lenovo" "pepsi"
## [15116,] "stefano" "sabritas" "pond's" "pepsi" "amazon"
## [15117,] "stefano" "sabritas" "pond's" "pepsi" "barcel"
## [15118,] "stefano" "sabritas" "pond's" "pepsi" "coca-cola"
## [15119,] "stefano" "sabritas" "pond's" "pepsi" "google"
## [15120,] "stefano" "sabritas" "pond's" "pepsi" "lenovo"¿Para qué sirve encontrar el número de permutaciones y la forma en que se agrupan?
Eso sería el espacio muestral que ya construído éste, permite hacer interpretaciones en términos probabilísticos.
El resultado de las permutaciones permite construir un espacio muestral que ofrece la oportunidad de conocer en términos de probabilidad, la cantidad de ocasiones y lo que representa un evento conforme a todo el espacio muestral, es decir frecuencia y frecuencia porcentual.
¿En cuántas ocasiones aparece el nombre de Laura en permutaciones de dos en dos?. Aparece PENDIENTE(16) ocasiones. ¿En cuántas ocasiones aparece el nombre de Oscar en las combinaciones de dos en dos?, Aparece PENDIENTE(16) ocasiones.
En las permutaciones de nombres de dos en dos, ¿en cuántas ocasiones existe Laura y Oscar juntos o contiguos y en ese orden?. Se utiliza la función subset() para hacer filtros y responder a las preguntas.
La nominación [ , ] significa acceder al valor de un data frame por la primer colmna y [ ,2] la segunda columna.
filtro <- subset(Pern.nombres, Pern.nombres[,1] == "Laura" & Pern.nombres[,2] == "Oscar")
filtro## [,1] [,2]
## [1,] "Laura" "Oscar"frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " ocasiones en que se encuentran Laura y Oscar juntos en ese orden, de un total de ", nrow(Pern.nombres), " representan ", round(frecuencia / nrow(Pern.nombres) * 100, 2), "%")## [1] "Existen 1 ocasiones en que se encuentran Laura y Oscar juntos en ese orden, de un total de 182 representan 0.55 %"En las permutaciones de nombres de dos en dos, ¿en cuántas ocasiones existe Oscar en la primer columna de todo el espacio muestral?
filtro <- subset(Pern.nombres, Pern.nombres[,1] == "Oscar")
filtro## [,1] [,2]
## [1,] "Oscar" "Alberto"
## [2,] "Oscar" "angel"
## [3,] "Oscar" "Juan"
## [4,] "Oscar" "Laura"
## [5,] "Oscar" "Lucy"
## [6,] "Oscar" "luis"
## [7,] "Oscar" "Luis"
## [8,] "Oscar" "miguel"
## [9,] "Oscar" "Paco"
## [10,] "Oscar" "Paty"
## [11,] "Oscar" "Rubén"
## [12,] "Oscar" "thaily"
## [13,] "Oscar" "vianney"frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " ocasiones en que se encuentran Oscar en la primer columna , de un total de ", nrow(Pern.nombres), " representan ", round(frecuencia / nrow(Pern.nombres) * 100, 2), "%")## [1] "Existen 13 ocasiones en que se encuentran Oscar en la primer columna , de un total de 182 representan 7.14 %"En cuántas ocasiones aparece en primera columna Oscar y Paco o Paty en segunda columna
filtro <- subset(Pern.nombres, Pern.nombres[,1] == "Oscar" & (Pern.nombres[,2] == "Paco" | Pern.nombres[,2] == "Paty"))
filtro## [,1] [,2]
## [1,] "Oscar" "Paco"
## [2,] "Oscar" "Paty"frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " ocasiones en que se encuentran aparece en primera columna Oscar y Paco o Paty en segunda columna, de un total de ", nrow(Pern.nombres), " representan ", round(frecuencia / nrow(Pern.nombres) * 100, 2), "%")## [1] "Existen 2 ocasiones en que se encuentran aparece en primera columna Oscar y Paco o Paty en segunda columna, de un total de 182 representan 1.1 %"En cuántas ocasiones aparece de manera contigua y en este orden los equipos de América y Guadalajara en primera y segunda columna respectivamente.
filtro <- subset(Pern.equipos, Pern.equipos[,1] == "amazon" & (Pern.equipos[,2] == "google"))
filtro## [,1] [,2] [,3] [,4] [,5]
## [1,] "amazon" "google" "barcel" "coca-cola" "lenovo"
## [2,] "amazon" "google" "barcel" "coca-cola" "pepsi"
## [3,] "amazon" "google" "barcel" "coca-cola" "pond's"
## [4,] "amazon" "google" "barcel" "coca-cola" "sabritas"
## [5,] "amazon" "google" "barcel" "coca-cola" "stefano"
## [6,] "amazon" "google" "barcel" "lenovo" "coca-cola"
## [7,] "amazon" "google" "barcel" "lenovo" "pepsi"
## [8,] "amazon" "google" "barcel" "lenovo" "pond's"
## [9,] "amazon" "google" "barcel" "lenovo" "sabritas"
## [10,] "amazon" "google" "barcel" "lenovo" "stefano"
## [11,] "amazon" "google" "barcel" "pepsi" "coca-cola"
## [12,] "amazon" "google" "barcel" "pepsi" "lenovo"
## [13,] "amazon" "google" "barcel" "pepsi" "pond's"
## [14,] "amazon" "google" "barcel" "pepsi" "sabritas"
## [15,] "amazon" "google" "barcel" "pepsi" "stefano"
## [16,] "amazon" "google" "barcel" "pond's" "coca-cola"
## [17,] "amazon" "google" "barcel" "pond's" "lenovo"
## [18,] "amazon" "google" "barcel" "pond's" "pepsi"
## [19,] "amazon" "google" "barcel" "pond's" "sabritas"
## [20,] "amazon" "google" "barcel" "pond's" "stefano"
## [21,] "amazon" "google" "barcel" "sabritas" "coca-cola"
## [22,] "amazon" "google" "barcel" "sabritas" "lenovo"
## [23,] "amazon" "google" "barcel" "sabritas" "pepsi"
## [24,] "amazon" "google" "barcel" "sabritas" "pond's"
## [25,] "amazon" "google" "barcel" "sabritas" "stefano"
## [26,] "amazon" "google" "barcel" "stefano" "coca-cola"
## [27,] "amazon" "google" "barcel" "stefano" "lenovo"
## [28,] "amazon" "google" "barcel" "stefano" "pepsi"
## [29,] "amazon" "google" "barcel" "stefano" "pond's"
## [30,] "amazon" "google" "barcel" "stefano" "sabritas"
## [31,] "amazon" "google" "coca-cola" "barcel" "lenovo"
## [32,] "amazon" "google" "coca-cola" "barcel" "pepsi"
## [33,] "amazon" "google" "coca-cola" "barcel" "pond's"
## [34,] "amazon" "google" "coca-cola" "barcel" "sabritas"
## [35,] "amazon" "google" "coca-cola" "barcel" "stefano"
## [36,] "amazon" "google" "coca-cola" "lenovo" "barcel"
## [37,] "amazon" "google" "coca-cola" "lenovo" "pepsi"
## [38,] "amazon" "google" "coca-cola" "lenovo" "pond's"
## [39,] "amazon" "google" "coca-cola" "lenovo" "sabritas"
## [40,] "amazon" "google" "coca-cola" "lenovo" "stefano"
## [41,] "amazon" "google" "coca-cola" "pepsi" "barcel"
## [42,] "amazon" "google" "coca-cola" "pepsi" "lenovo"
## [43,] "amazon" "google" "coca-cola" "pepsi" "pond's"
## [44,] "amazon" "google" "coca-cola" "pepsi" "sabritas"
## [45,] "amazon" "google" "coca-cola" "pepsi" "stefano"
## [46,] "amazon" "google" "coca-cola" "pond's" "barcel"
## [47,] "amazon" "google" "coca-cola" "pond's" "lenovo"
## [48,] "amazon" "google" "coca-cola" "pond's" "pepsi"
## [49,] "amazon" "google" "coca-cola" "pond's" "sabritas"
## [50,] "amazon" "google" "coca-cola" "pond's" "stefano"
## [51,] "amazon" "google" "coca-cola" "sabritas" "barcel"
## [52,] "amazon" "google" "coca-cola" "sabritas" "lenovo"
## [53,] "amazon" "google" "coca-cola" "sabritas" "pepsi"
## [54,] "amazon" "google" "coca-cola" "sabritas" "pond's"
## [55,] "amazon" "google" "coca-cola" "sabritas" "stefano"
## [56,] "amazon" "google" "coca-cola" "stefano" "barcel"
## [57,] "amazon" "google" "coca-cola" "stefano" "lenovo"
## [58,] "amazon" "google" "coca-cola" "stefano" "pepsi"
## [59,] "amazon" "google" "coca-cola" "stefano" "pond's"
## [60,] "amazon" "google" "coca-cola" "stefano" "sabritas"
## [61,] "amazon" "google" "lenovo" "barcel" "coca-cola"
## [62,] "amazon" "google" "lenovo" "barcel" "pepsi"
## [63,] "amazon" "google" "lenovo" "barcel" "pond's"
## [64,] "amazon" "google" "lenovo" "barcel" "sabritas"
## [65,] "amazon" "google" "lenovo" "barcel" "stefano"
## [66,] "amazon" "google" "lenovo" "coca-cola" "barcel"
## [67,] "amazon" "google" "lenovo" "coca-cola" "pepsi"
## [68,] "amazon" "google" "lenovo" "coca-cola" "pond's"
## [69,] "amazon" "google" "lenovo" "coca-cola" "sabritas"
## [70,] "amazon" "google" "lenovo" "coca-cola" "stefano"
## [71,] "amazon" "google" "lenovo" "pepsi" "barcel"
## [72,] "amazon" "google" "lenovo" "pepsi" "coca-cola"
## [73,] "amazon" "google" "lenovo" "pepsi" "pond's"
## [74,] "amazon" "google" "lenovo" "pepsi" "sabritas"
## [75,] "amazon" "google" "lenovo" "pepsi" "stefano"
## [76,] "amazon" "google" "lenovo" "pond's" "barcel"
## [77,] "amazon" "google" "lenovo" "pond's" "coca-cola"
## [78,] "amazon" "google" "lenovo" "pond's" "pepsi"
## [79,] "amazon" "google" "lenovo" "pond's" "sabritas"
## [80,] "amazon" "google" "lenovo" "pond's" "stefano"
## [81,] "amazon" "google" "lenovo" "sabritas" "barcel"
## [82,] "amazon" "google" "lenovo" "sabritas" "coca-cola"
## [83,] "amazon" "google" "lenovo" "sabritas" "pepsi"
## [84,] "amazon" "google" "lenovo" "sabritas" "pond's"
## [85,] "amazon" "google" "lenovo" "sabritas" "stefano"
## [86,] "amazon" "google" "lenovo" "stefano" "barcel"
## [87,] "amazon" "google" "lenovo" "stefano" "coca-cola"
## [88,] "amazon" "google" "lenovo" "stefano" "pepsi"
## [89,] "amazon" "google" "lenovo" "stefano" "pond's"
## [90,] "amazon" "google" "lenovo" "stefano" "sabritas"
## [91,] "amazon" "google" "pepsi" "barcel" "coca-cola"
## [92,] "amazon" "google" "pepsi" "barcel" "lenovo"
## [93,] "amazon" "google" "pepsi" "barcel" "pond's"
## [94,] "amazon" "google" "pepsi" "barcel" "sabritas"
## [95,] "amazon" "google" "pepsi" "barcel" "stefano"
## [96,] "amazon" "google" "pepsi" "coca-cola" "barcel"
## [97,] "amazon" "google" "pepsi" "coca-cola" "lenovo"
## [98,] "amazon" "google" "pepsi" "coca-cola" "pond's"
## [99,] "amazon" "google" "pepsi" "coca-cola" "sabritas"
## [100,] "amazon" "google" "pepsi" "coca-cola" "stefano"
## [101,] "amazon" "google" "pepsi" "lenovo" "barcel"
## [102,] "amazon" "google" "pepsi" "lenovo" "coca-cola"
## [103,] "amazon" "google" "pepsi" "lenovo" "pond's"
## [104,] "amazon" "google" "pepsi" "lenovo" "sabritas"
## [105,] "amazon" "google" "pepsi" "lenovo" "stefano"
## [106,] "amazon" "google" "pepsi" "pond's" "barcel"
## [107,] "amazon" "google" "pepsi" "pond's" "coca-cola"
## [108,] "amazon" "google" "pepsi" "pond's" "lenovo"
## [109,] "amazon" "google" "pepsi" "pond's" "sabritas"
## [110,] "amazon" "google" "pepsi" "pond's" "stefano"
## [111,] "amazon" "google" "pepsi" "sabritas" "barcel"
## [112,] "amazon" "google" "pepsi" "sabritas" "coca-cola"
## [113,] "amazon" "google" "pepsi" "sabritas" "lenovo"
## [114,] "amazon" "google" "pepsi" "sabritas" "pond's"
## [115,] "amazon" "google" "pepsi" "sabritas" "stefano"
## [116,] "amazon" "google" "pepsi" "stefano" "barcel"
## [117,] "amazon" "google" "pepsi" "stefano" "coca-cola"
## [118,] "amazon" "google" "pepsi" "stefano" "lenovo"
## [119,] "amazon" "google" "pepsi" "stefano" "pond's"
## [120,] "amazon" "google" "pepsi" "stefano" "sabritas"
## [121,] "amazon" "google" "pond's" "barcel" "coca-cola"
## [122,] "amazon" "google" "pond's" "barcel" "lenovo"
## [123,] "amazon" "google" "pond's" "barcel" "pepsi"
## [124,] "amazon" "google" "pond's" "barcel" "sabritas"
## [125,] "amazon" "google" "pond's" "barcel" "stefano"
## [126,] "amazon" "google" "pond's" "coca-cola" "barcel"
## [127,] "amazon" "google" "pond's" "coca-cola" "lenovo"
## [128,] "amazon" "google" "pond's" "coca-cola" "pepsi"
## [129,] "amazon" "google" "pond's" "coca-cola" "sabritas"
## [130,] "amazon" "google" "pond's" "coca-cola" "stefano"
## [131,] "amazon" "google" "pond's" "lenovo" "barcel"
## [132,] "amazon" "google" "pond's" "lenovo" "coca-cola"
## [133,] "amazon" "google" "pond's" "lenovo" "pepsi"
## [134,] "amazon" "google" "pond's" "lenovo" "sabritas"
## [135,] "amazon" "google" "pond's" "lenovo" "stefano"
## [136,] "amazon" "google" "pond's" "pepsi" "barcel"
## [137,] "amazon" "google" "pond's" "pepsi" "coca-cola"
## [138,] "amazon" "google" "pond's" "pepsi" "lenovo"
## [139,] "amazon" "google" "pond's" "pepsi" "sabritas"
## [140,] "amazon" "google" "pond's" "pepsi" "stefano"
## [141,] "amazon" "google" "pond's" "sabritas" "barcel"
## [142,] "amazon" "google" "pond's" "sabritas" "coca-cola"
## [143,] "amazon" "google" "pond's" "sabritas" "lenovo"
## [144,] "amazon" "google" "pond's" "sabritas" "pepsi"
## [145,] "amazon" "google" "pond's" "sabritas" "stefano"
## [146,] "amazon" "google" "pond's" "stefano" "barcel"
## [147,] "amazon" "google" "pond's" "stefano" "coca-cola"
## [148,] "amazon" "google" "pond's" "stefano" "lenovo"
## [149,] "amazon" "google" "pond's" "stefano" "pepsi"
## [150,] "amazon" "google" "pond's" "stefano" "sabritas"
## [151,] "amazon" "google" "sabritas" "barcel" "coca-cola"
## [152,] "amazon" "google" "sabritas" "barcel" "lenovo"
## [153,] "amazon" "google" "sabritas" "barcel" "pepsi"
## [154,] "amazon" "google" "sabritas" "barcel" "pond's"
## [155,] "amazon" "google" "sabritas" "barcel" "stefano"
## [156,] "amazon" "google" "sabritas" "coca-cola" "barcel"
## [157,] "amazon" "google" "sabritas" "coca-cola" "lenovo"
## [158,] "amazon" "google" "sabritas" "coca-cola" "pepsi"
## [159,] "amazon" "google" "sabritas" "coca-cola" "pond's"
## [160,] "amazon" "google" "sabritas" "coca-cola" "stefano"
## [161,] "amazon" "google" "sabritas" "lenovo" "barcel"
## [162,] "amazon" "google" "sabritas" "lenovo" "coca-cola"
## [163,] "amazon" "google" "sabritas" "lenovo" "pepsi"
## [164,] "amazon" "google" "sabritas" "lenovo" "pond's"
## [165,] "amazon" "google" "sabritas" "lenovo" "stefano"
## [166,] "amazon" "google" "sabritas" "pepsi" "barcel"
## [167,] "amazon" "google" "sabritas" "pepsi" "coca-cola"
## [168,] "amazon" "google" "sabritas" "pepsi" "lenovo"
## [169,] "amazon" "google" "sabritas" "pepsi" "pond's"
## [170,] "amazon" "google" "sabritas" "pepsi" "stefano"
## [171,] "amazon" "google" "sabritas" "pond's" "barcel"
## [172,] "amazon" "google" "sabritas" "pond's" "coca-cola"
## [173,] "amazon" "google" "sabritas" "pond's" "lenovo"
## [174,] "amazon" "google" "sabritas" "pond's" "pepsi"
## [175,] "amazon" "google" "sabritas" "pond's" "stefano"
## [176,] "amazon" "google" "sabritas" "stefano" "barcel"
## [177,] "amazon" "google" "sabritas" "stefano" "coca-cola"
## [178,] "amazon" "google" "sabritas" "stefano" "lenovo"
## [179,] "amazon" "google" "sabritas" "stefano" "pepsi"
## [180,] "amazon" "google" "sabritas" "stefano" "pond's"
## [181,] "amazon" "google" "stefano" "barcel" "coca-cola"
## [182,] "amazon" "google" "stefano" "barcel" "lenovo"
## [183,] "amazon" "google" "stefano" "barcel" "pepsi"
## [184,] "amazon" "google" "stefano" "barcel" "pond's"
## [185,] "amazon" "google" "stefano" "barcel" "sabritas"
## [186,] "amazon" "google" "stefano" "coca-cola" "barcel"
## [187,] "amazon" "google" "stefano" "coca-cola" "lenovo"
## [188,] "amazon" "google" "stefano" "coca-cola" "pepsi"
## [189,] "amazon" "google" "stefano" "coca-cola" "pond's"
## [190,] "amazon" "google" "stefano" "coca-cola" "sabritas"
## [191,] "amazon" "google" "stefano" "lenovo" "barcel"
## [192,] "amazon" "google" "stefano" "lenovo" "coca-cola"
## [193,] "amazon" "google" "stefano" "lenovo" "pepsi"
## [194,] "amazon" "google" "stefano" "lenovo" "pond's"
## [195,] "amazon" "google" "stefano" "lenovo" "sabritas"
## [196,] "amazon" "google" "stefano" "pepsi" "barcel"
## [197,] "amazon" "google" "stefano" "pepsi" "coca-cola"
## [198,] "amazon" "google" "stefano" "pepsi" "lenovo"
## [199,] "amazon" "google" "stefano" "pepsi" "pond's"
## [200,] "amazon" "google" "stefano" "pepsi" "sabritas"
## [201,] "amazon" "google" "stefano" "pond's" "barcel"
## [202,] "amazon" "google" "stefano" "pond's" "coca-cola"
## [203,] "amazon" "google" "stefano" "pond's" "lenovo"
## [204,] "amazon" "google" "stefano" "pond's" "pepsi"
## [205,] "amazon" "google" "stefano" "pond's" "sabritas"
## [206,] "amazon" "google" "stefano" "sabritas" "barcel"
## [207,] "amazon" "google" "stefano" "sabritas" "coca-cola"
## [208,] "amazon" "google" "stefano" "sabritas" "lenovo"
## [209,] "amazon" "google" "stefano" "sabritas" "pepsi"
## [210,] "amazon" "google" "stefano" "sabritas" "pond's"frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " ocasiones en que se encuentran aparece en primera columna amazon y google en segunda columna, de un total de ", nrow(Pern.equipos), " representan ", round(frecuencia / nrow(Pern.equipos) * 100, 2), "%")## [1] "Existen 210 ocasiones en que se encuentran aparece en primera columna amazon y google en segunda columna, de un total de 15120 representan 1.39 %"En cuántas ocasiones aparece de manera contigua y en este orden los equipos de Atlas y Guadalajara en primera y segunda columna respectivamente.
filtro <- subset(Pern.nombres, Pern.nombres[,1] == "stefano" & (Pern.nombres[,2] == "sabritas"))
filtro## [,1] [,2]frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " ocasiones en que se encuentran aparece en primera columna stefano y sabrias en segunda columna, de un total de ", nrow(Pern.nombres), " representan ", round(frecuencia / nrow(Pern.nombres) * 100, 2), "%")## [1] "Existen 0 ocasiones en que se encuentran aparece en primera columna stefano y sabrias en segunda columna, de un total de 182 representan 0 %"¿En cuántas ocasiones aparece de manera contigua y en este orden los equipos de Guadalajara y Mazatlán en cualquier columna uno y dos, dos y tres, tres y cuatro o cuatro y cinco?
filtro <- subset(Pern.equipos, (Pern.equipos[,1] == "amazon" & Pern.equipos[,2] == "google")
| (Pern.equipos[,2] == "amazon" & Pern.equipos[,3] == "google")
|
(Pern.equipos[,3] == "amazon" & Pern.equipos[,4] == "google")
| (Pern.equipos[,4] == "amazon" & Pern.equipos[,5] == "google"))
filtro## [,1] [,2] [,3] [,4] [,5]
## [1,] "amazon" "google" "barcel" "coca-cola" "lenovo"
## [2,] "amazon" "google" "barcel" "coca-cola" "pepsi"
## [3,] "amazon" "google" "barcel" "coca-cola" "pond's"
## [4,] "amazon" "google" "barcel" "coca-cola" "sabritas"
## [5,] "amazon" "google" "barcel" "coca-cola" "stefano"
## [6,] "amazon" "google" "barcel" "lenovo" "coca-cola"
## [7,] "amazon" "google" "barcel" "lenovo" "pepsi"
## [8,] "amazon" "google" "barcel" "lenovo" "pond's"
## [9,] "amazon" "google" "barcel" "lenovo" "sabritas"
## [10,] "amazon" "google" "barcel" "lenovo" "stefano"
## [11,] "amazon" "google" "barcel" "pepsi" "coca-cola"
## [12,] "amazon" "google" "barcel" "pepsi" "lenovo"
## [13,] "amazon" "google" "barcel" "pepsi" "pond's"
## [14,] "amazon" "google" "barcel" "pepsi" "sabritas"
## [15,] "amazon" "google" "barcel" "pepsi" "stefano"
## [16,] "amazon" "google" "barcel" "pond's" "coca-cola"
## [17,] "amazon" "google" "barcel" "pond's" "lenovo"
## [18,] "amazon" "google" "barcel" "pond's" "pepsi"
## [19,] "amazon" "google" "barcel" "pond's" "sabritas"
## [20,] "amazon" "google" "barcel" "pond's" "stefano"
## [21,] "amazon" "google" "barcel" "sabritas" "coca-cola"
## [22,] "amazon" "google" "barcel" "sabritas" "lenovo"
## [23,] "amazon" "google" "barcel" "sabritas" "pepsi"
## [24,] "amazon" "google" "barcel" "sabritas" "pond's"
## [25,] "amazon" "google" "barcel" "sabritas" "stefano"
## [26,] "amazon" "google" "barcel" "stefano" "coca-cola"
## [27,] "amazon" "google" "barcel" "stefano" "lenovo"
## [28,] "amazon" "google" "barcel" "stefano" "pepsi"
## [29,] "amazon" "google" "barcel" "stefano" "pond's"
## [30,] "amazon" "google" "barcel" "stefano" "sabritas"
## [31,] "amazon" "google" "coca-cola" "barcel" "lenovo"
## [32,] "amazon" "google" "coca-cola" "barcel" "pepsi"
## [33,] "amazon" "google" "coca-cola" "barcel" "pond's"
## [34,] "amazon" "google" "coca-cola" "barcel" "sabritas"
## [35,] "amazon" "google" "coca-cola" "barcel" "stefano"
## [36,] "amazon" "google" "coca-cola" "lenovo" "barcel"
## [37,] "amazon" "google" "coca-cola" "lenovo" "pepsi"
## [38,] "amazon" "google" "coca-cola" "lenovo" "pond's"
## [39,] "amazon" "google" "coca-cola" "lenovo" "sabritas"
## [40,] "amazon" "google" "coca-cola" "lenovo" "stefano"
## [41,] "amazon" "google" "coca-cola" "pepsi" "barcel"
## [42,] "amazon" "google" "coca-cola" "pepsi" "lenovo"
## [43,] "amazon" "google" "coca-cola" "pepsi" "pond's"
## [44,] "amazon" "google" "coca-cola" "pepsi" "sabritas"
## [45,] "amazon" "google" "coca-cola" "pepsi" "stefano"
## [46,] "amazon" "google" "coca-cola" "pond's" "barcel"
## [47,] "amazon" "google" "coca-cola" "pond's" "lenovo"
## [48,] "amazon" "google" "coca-cola" "pond's" "pepsi"
## [49,] "amazon" "google" "coca-cola" "pond's" "sabritas"
## [50,] "amazon" "google" "coca-cola" "pond's" "stefano"
## [51,] "amazon" "google" "coca-cola" "sabritas" "barcel"
## [52,] "amazon" "google" "coca-cola" "sabritas" "lenovo"
## [53,] "amazon" "google" "coca-cola" "sabritas" "pepsi"
## [54,] "amazon" "google" "coca-cola" "sabritas" "pond's"
## [55,] "amazon" "google" "coca-cola" "sabritas" "stefano"
## [56,] "amazon" "google" "coca-cola" "stefano" "barcel"
## [57,] "amazon" "google" "coca-cola" "stefano" "lenovo"
## [58,] "amazon" "google" "coca-cola" "stefano" "pepsi"
## [59,] "amazon" "google" "coca-cola" "stefano" "pond's"
## [60,] "amazon" "google" "coca-cola" "stefano" "sabritas"
## [61,] "amazon" "google" "lenovo" "barcel" "coca-cola"
## [62,] "amazon" "google" "lenovo" "barcel" "pepsi"
## [63,] "amazon" "google" "lenovo" "barcel" "pond's"
## [64,] "amazon" "google" "lenovo" "barcel" "sabritas"
## [65,] "amazon" "google" "lenovo" "barcel" "stefano"
## [66,] "amazon" "google" "lenovo" "coca-cola" "barcel"
## [67,] "amazon" "google" "lenovo" "coca-cola" "pepsi"
## [68,] "amazon" "google" "lenovo" "coca-cola" "pond's"
## [69,] "amazon" "google" "lenovo" "coca-cola" "sabritas"
## [70,] "amazon" "google" "lenovo" "coca-cola" "stefano"
## [71,] "amazon" "google" "lenovo" "pepsi" "barcel"
## [72,] "amazon" "google" "lenovo" "pepsi" "coca-cola"
## [73,] "amazon" "google" "lenovo" "pepsi" "pond's"
## [74,] "amazon" "google" "lenovo" "pepsi" "sabritas"
## [75,] "amazon" "google" "lenovo" "pepsi" "stefano"
## [76,] "amazon" "google" "lenovo" "pond's" "barcel"
## [77,] "amazon" "google" "lenovo" "pond's" "coca-cola"
## [78,] "amazon" "google" "lenovo" "pond's" "pepsi"
## [79,] "amazon" "google" "lenovo" "pond's" "sabritas"
## [80,] "amazon" "google" "lenovo" "pond's" "stefano"
## [81,] "amazon" "google" "lenovo" "sabritas" "barcel"
## [82,] "amazon" "google" "lenovo" "sabritas" "coca-cola"
## [83,] "amazon" "google" "lenovo" "sabritas" "pepsi"
## [84,] "amazon" "google" "lenovo" "sabritas" "pond's"
## [85,] "amazon" "google" "lenovo" "sabritas" "stefano"
## [86,] "amazon" "google" "lenovo" "stefano" "barcel"
## [87,] "amazon" "google" "lenovo" "stefano" "coca-cola"
## [88,] "amazon" "google" "lenovo" "stefano" "pepsi"
## [89,] "amazon" "google" "lenovo" "stefano" "pond's"
## [90,] "amazon" "google" "lenovo" "stefano" "sabritas"
## [91,] "amazon" "google" "pepsi" "barcel" "coca-cola"
## [92,] "amazon" "google" "pepsi" "barcel" "lenovo"
## [93,] "amazon" "google" "pepsi" "barcel" "pond's"
## [94,] "amazon" "google" "pepsi" "barcel" "sabritas"
## [95,] "amazon" "google" "pepsi" "barcel" "stefano"
## [96,] "amazon" "google" "pepsi" "coca-cola" "barcel"
## [97,] "amazon" "google" "pepsi" "coca-cola" "lenovo"
## [98,] "amazon" "google" "pepsi" "coca-cola" "pond's"
## [99,] "amazon" "google" "pepsi" "coca-cola" "sabritas"
## [100,] "amazon" "google" "pepsi" "coca-cola" "stefano"
## [101,] "amazon" "google" "pepsi" "lenovo" "barcel"
## [102,] "amazon" "google" "pepsi" "lenovo" "coca-cola"
## [103,] "amazon" "google" "pepsi" "lenovo" "pond's"
## [104,] "amazon" "google" "pepsi" "lenovo" "sabritas"
## [105,] "amazon" "google" "pepsi" "lenovo" "stefano"
## [106,] "amazon" "google" "pepsi" "pond's" "barcel"
## [107,] "amazon" "google" "pepsi" "pond's" "coca-cola"
## [108,] "amazon" "google" "pepsi" "pond's" "lenovo"
## [109,] "amazon" "google" "pepsi" "pond's" "sabritas"
## [110,] "amazon" "google" "pepsi" "pond's" "stefano"
## [111,] "amazon" "google" "pepsi" "sabritas" "barcel"
## [112,] "amazon" "google" "pepsi" "sabritas" "coca-cola"
## [113,] "amazon" "google" "pepsi" "sabritas" "lenovo"
## [114,] "amazon" "google" "pepsi" "sabritas" "pond's"
## [115,] "amazon" "google" "pepsi" "sabritas" "stefano"
## [116,] "amazon" "google" "pepsi" "stefano" "barcel"
## [117,] "amazon" "google" "pepsi" "stefano" "coca-cola"
## [118,] "amazon" "google" "pepsi" "stefano" "lenovo"
## [119,] "amazon" "google" "pepsi" "stefano" "pond's"
## [120,] "amazon" "google" "pepsi" "stefano" "sabritas"
## [121,] "amazon" "google" "pond's" "barcel" "coca-cola"
## [122,] "amazon" "google" "pond's" "barcel" "lenovo"
## [123,] "amazon" "google" "pond's" "barcel" "pepsi"
## [124,] "amazon" "google" "pond's" "barcel" "sabritas"
## [125,] "amazon" "google" "pond's" "barcel" "stefano"
## [126,] "amazon" "google" "pond's" "coca-cola" "barcel"
## [127,] "amazon" "google" "pond's" "coca-cola" "lenovo"
## [128,] "amazon" "google" "pond's" "coca-cola" "pepsi"
## [129,] "amazon" "google" "pond's" "coca-cola" "sabritas"
## [130,] "amazon" "google" "pond's" "coca-cola" "stefano"
## [131,] "amazon" "google" "pond's" "lenovo" "barcel"
## [132,] "amazon" "google" "pond's" "lenovo" "coca-cola"
## [133,] "amazon" "google" "pond's" "lenovo" "pepsi"
## [134,] "amazon" "google" "pond's" "lenovo" "sabritas"
## [135,] "amazon" "google" "pond's" "lenovo" "stefano"
## [136,] "amazon" "google" "pond's" "pepsi" "barcel"
## [137,] "amazon" "google" "pond's" "pepsi" "coca-cola"
## [138,] "amazon" "google" "pond's" "pepsi" "lenovo"
## [139,] "amazon" "google" "pond's" "pepsi" "sabritas"
## [140,] "amazon" "google" "pond's" "pepsi" "stefano"
## [141,] "amazon" "google" "pond's" "sabritas" "barcel"
## [142,] "amazon" "google" "pond's" "sabritas" "coca-cola"
## [143,] "amazon" "google" "pond's" "sabritas" "lenovo"
## [144,] "amazon" "google" "pond's" "sabritas" "pepsi"
## [145,] "amazon" "google" "pond's" "sabritas" "stefano"
## [146,] "amazon" "google" "pond's" "stefano" "barcel"
## [147,] "amazon" "google" "pond's" "stefano" "coca-cola"
## [148,] "amazon" "google" "pond's" "stefano" "lenovo"
## [149,] "amazon" "google" "pond's" "stefano" "pepsi"
## [150,] "amazon" "google" "pond's" "stefano" "sabritas"
## [151,] "amazon" "google" "sabritas" "barcel" "coca-cola"
## [152,] "amazon" "google" "sabritas" "barcel" "lenovo"
## [153,] "amazon" "google" "sabritas" "barcel" "pepsi"
## [154,] "amazon" "google" "sabritas" "barcel" "pond's"
## [155,] "amazon" "google" "sabritas" "barcel" "stefano"
## [156,] "amazon" "google" "sabritas" "coca-cola" "barcel"
## [157,] "amazon" "google" "sabritas" "coca-cola" "lenovo"
## [158,] "amazon" "google" "sabritas" "coca-cola" "pepsi"
## [159,] "amazon" "google" "sabritas" "coca-cola" "pond's"
## [160,] "amazon" "google" "sabritas" "coca-cola" "stefano"
## [161,] "amazon" "google" "sabritas" "lenovo" "barcel"
## [162,] "amazon" "google" "sabritas" "lenovo" "coca-cola"
## [163,] "amazon" "google" "sabritas" "lenovo" "pepsi"
## [164,] "amazon" "google" "sabritas" "lenovo" "pond's"
## [165,] "amazon" "google" "sabritas" "lenovo" "stefano"
## [166,] "amazon" "google" "sabritas" "pepsi" "barcel"
## [167,] "amazon" "google" "sabritas" "pepsi" "coca-cola"
## [168,] "amazon" "google" "sabritas" "pepsi" "lenovo"
## [169,] "amazon" "google" "sabritas" "pepsi" "pond's"
## [170,] "amazon" "google" "sabritas" "pepsi" "stefano"
## [171,] "amazon" "google" "sabritas" "pond's" "barcel"
## [172,] "amazon" "google" "sabritas" "pond's" "coca-cola"
## [173,] "amazon" "google" "sabritas" "pond's" "lenovo"
## [174,] "amazon" "google" "sabritas" "pond's" "pepsi"
## [175,] "amazon" "google" "sabritas" "pond's" "stefano"
## [176,] "amazon" "google" "sabritas" "stefano" "barcel"
## [177,] "amazon" "google" "sabritas" "stefano" "coca-cola"
## [178,] "amazon" "google" "sabritas" "stefano" "lenovo"
## [179,] "amazon" "google" "sabritas" "stefano" "pepsi"
## [180,] "amazon" "google" "sabritas" "stefano" "pond's"
## [181,] "amazon" "google" "stefano" "barcel" "coca-cola"
## [182,] "amazon" "google" "stefano" "barcel" "lenovo"
## [183,] "amazon" "google" "stefano" "barcel" "pepsi"
## [184,] "amazon" "google" "stefano" "barcel" "pond's"
## [185,] "amazon" "google" "stefano" "barcel" "sabritas"
## [186,] "amazon" "google" "stefano" "coca-cola" "barcel"
## [187,] "amazon" "google" "stefano" "coca-cola" "lenovo"
## [188,] "amazon" "google" "stefano" "coca-cola" "pepsi"
## [189,] "amazon" "google" "stefano" "coca-cola" "pond's"
## [190,] "amazon" "google" "stefano" "coca-cola" "sabritas"
## [191,] "amazon" "google" "stefano" "lenovo" "barcel"
## [192,] "amazon" "google" "stefano" "lenovo" "coca-cola"
## [193,] "amazon" "google" "stefano" "lenovo" "pepsi"
## [194,] "amazon" "google" "stefano" "lenovo" "pond's"
## [195,] "amazon" "google" "stefano" "lenovo" "sabritas"
## [196,] "amazon" "google" "stefano" "pepsi" "barcel"
## [197,] "amazon" "google" "stefano" "pepsi" "coca-cola"
## [198,] "amazon" "google" "stefano" "pepsi" "lenovo"
## [199,] "amazon" "google" "stefano" "pepsi" "pond's"
## [200,] "amazon" "google" "stefano" "pepsi" "sabritas"
## [201,] "amazon" "google" "stefano" "pond's" "barcel"
## [202,] "amazon" "google" "stefano" "pond's" "coca-cola"
## [203,] "amazon" "google" "stefano" "pond's" "lenovo"
## [204,] "amazon" "google" "stefano" "pond's" "pepsi"
## [205,] "amazon" "google" "stefano" "pond's" "sabritas"
## [206,] "amazon" "google" "stefano" "sabritas" "barcel"
## [207,] "amazon" "google" "stefano" "sabritas" "coca-cola"
## [208,] "amazon" "google" "stefano" "sabritas" "lenovo"
## [209,] "amazon" "google" "stefano" "sabritas" "pepsi"
## [210,] "amazon" "google" "stefano" "sabritas" "pond's"
## [211,] "barcel" "amazon" "google" "coca-cola" "lenovo"
## [212,] "barcel" "amazon" "google" "coca-cola" "pepsi"
## [213,] "barcel" "amazon" "google" "coca-cola" "pond's"
## [214,] "barcel" "amazon" "google" "coca-cola" "sabritas"
## [215,] "barcel" "amazon" "google" "coca-cola" "stefano"
## [216,] "barcel" "amazon" "google" "lenovo" "coca-cola"
## [217,] "barcel" "amazon" "google" "lenovo" "pepsi"
## [218,] "barcel" "amazon" "google" "lenovo" "pond's"
## [219,] "barcel" "amazon" "google" "lenovo" "sabritas"
## [220,] "barcel" "amazon" "google" "lenovo" "stefano"
## [221,] "barcel" "amazon" "google" "pepsi" "coca-cola"
## [222,] "barcel" "amazon" "google" "pepsi" "lenovo"
## [223,] "barcel" "amazon" "google" "pepsi" "pond's"
## [224,] "barcel" "amazon" "google" "pepsi" "sabritas"
## [225,] "barcel" "amazon" "google" "pepsi" "stefano"
## [226,] "barcel" "amazon" "google" "pond's" "coca-cola"
## [227,] "barcel" "amazon" "google" "pond's" "lenovo"
## [228,] "barcel" "amazon" "google" "pond's" "pepsi"
## [229,] "barcel" "amazon" "google" "pond's" "sabritas"
## [230,] "barcel" "amazon" "google" "pond's" "stefano"
## [231,] "barcel" "amazon" "google" "sabritas" "coca-cola"
## [232,] "barcel" "amazon" "google" "sabritas" "lenovo"
## [233,] "barcel" "amazon" "google" "sabritas" "pepsi"
## [234,] "barcel" "amazon" "google" "sabritas" "pond's"
## [235,] "barcel" "amazon" "google" "sabritas" "stefano"
## [236,] "barcel" "amazon" "google" "stefano" "coca-cola"
## [237,] "barcel" "amazon" "google" "stefano" "lenovo"
## [238,] "barcel" "amazon" "google" "stefano" "pepsi"
## [239,] "barcel" "amazon" "google" "stefano" "pond's"
## [240,] "barcel" "amazon" "google" "stefano" "sabritas"
## [241,] "barcel" "coca-cola" "amazon" "google" "lenovo"
## [242,] "barcel" "coca-cola" "amazon" "google" "pepsi"
## [243,] "barcel" "coca-cola" "amazon" "google" "pond's"
## [244,] "barcel" "coca-cola" "amazon" "google" "sabritas"
## [245,] "barcel" "coca-cola" "amazon" "google" "stefano"
## [246,] "barcel" "coca-cola" "lenovo" "amazon" "google"
## [247,] "barcel" "coca-cola" "pepsi" "amazon" "google"
## [248,] "barcel" "coca-cola" "pond's" "amazon" "google"
## [249,] "barcel" "coca-cola" "sabritas" "amazon" "google"
## [250,] "barcel" "coca-cola" "stefano" "amazon" "google"
## [251,] "barcel" "lenovo" "amazon" "google" "coca-cola"
## [252,] "barcel" "lenovo" "amazon" "google" "pepsi"
## [253,] "barcel" "lenovo" "amazon" "google" "pond's"
## [254,] "barcel" "lenovo" "amazon" "google" "sabritas"
## [255,] "barcel" "lenovo" "amazon" "google" "stefano"
## [256,] "barcel" "lenovo" "coca-cola" "amazon" "google"
## [257,] "barcel" "lenovo" "pepsi" "amazon" "google"
## [258,] "barcel" "lenovo" "pond's" "amazon" "google"
## [259,] "barcel" "lenovo" "sabritas" "amazon" "google"
## [260,] "barcel" "lenovo" "stefano" "amazon" "google"
## [261,] "barcel" "pepsi" "amazon" "google" "coca-cola"
## [262,] "barcel" "pepsi" "amazon" "google" "lenovo"
## [263,] "barcel" "pepsi" "amazon" "google" "pond's"
## [264,] "barcel" "pepsi" "amazon" "google" "sabritas"
## [265,] "barcel" "pepsi" "amazon" "google" "stefano"
## [266,] "barcel" "pepsi" "coca-cola" "amazon" "google"
## [267,] "barcel" "pepsi" "lenovo" "amazon" "google"
## [268,] "barcel" "pepsi" "pond's" "amazon" "google"
## [269,] "barcel" "pepsi" "sabritas" "amazon" "google"
## [270,] "barcel" "pepsi" "stefano" "amazon" "google"
## [271,] "barcel" "pond's" "amazon" "google" "coca-cola"
## [272,] "barcel" "pond's" "amazon" "google" "lenovo"
## [273,] "barcel" "pond's" "amazon" "google" "pepsi"
## [274,] "barcel" "pond's" "amazon" "google" "sabritas"
## [275,] "barcel" "pond's" "amazon" "google" "stefano"
## [276,] "barcel" "pond's" "coca-cola" "amazon" "google"
## [277,] "barcel" "pond's" "lenovo" "amazon" "google"
## [278,] "barcel" "pond's" "pepsi" "amazon" "google"
## [279,] "barcel" "pond's" "sabritas" "amazon" "google"
## [280,] "barcel" "pond's" "stefano" "amazon" "google"
## [281,] "barcel" "sabritas" "amazon" "google" "coca-cola"
## [282,] "barcel" "sabritas" "amazon" "google" "lenovo"
## [283,] "barcel" "sabritas" "amazon" "google" "pepsi"
## [284,] "barcel" "sabritas" "amazon" "google" "pond's"
## [285,] "barcel" "sabritas" "amazon" "google" "stefano"
## [286,] "barcel" "sabritas" "coca-cola" "amazon" "google"
## [287,] "barcel" "sabritas" "lenovo" "amazon" "google"
## [288,] "barcel" "sabritas" "pepsi" "amazon" "google"
## [289,] "barcel" "sabritas" "pond's" "amazon" "google"
## [290,] "barcel" "sabritas" "stefano" "amazon" "google"
## [291,] "barcel" "stefano" "amazon" "google" "coca-cola"
## [292,] "barcel" "stefano" "amazon" "google" "lenovo"
## [293,] "barcel" "stefano" "amazon" "google" "pepsi"
## [294,] "barcel" "stefano" "amazon" "google" "pond's"
## [295,] "barcel" "stefano" "amazon" "google" "sabritas"
## [296,] "barcel" "stefano" "coca-cola" "amazon" "google"
## [297,] "barcel" "stefano" "lenovo" "amazon" "google"
## [298,] "barcel" "stefano" "pepsi" "amazon" "google"
## [299,] "barcel" "stefano" "pond's" "amazon" "google"
## [300,] "barcel" "stefano" "sabritas" "amazon" "google"
## [301,] "coca-cola" "amazon" "google" "barcel" "lenovo"
## [302,] "coca-cola" "amazon" "google" "barcel" "pepsi"
## [303,] "coca-cola" "amazon" "google" "barcel" "pond's"
## [304,] "coca-cola" "amazon" "google" "barcel" "sabritas"
## [305,] "coca-cola" "amazon" "google" "barcel" "stefano"
## [306,] "coca-cola" "amazon" "google" "lenovo" "barcel"
## [307,] "coca-cola" "amazon" "google" "lenovo" "pepsi"
## [308,] "coca-cola" "amazon" "google" "lenovo" "pond's"
## [309,] "coca-cola" "amazon" "google" "lenovo" "sabritas"
## [310,] "coca-cola" "amazon" "google" "lenovo" "stefano"
## [311,] "coca-cola" "amazon" "google" "pepsi" "barcel"
## [312,] "coca-cola" "amazon" "google" "pepsi" "lenovo"
## [313,] "coca-cola" "amazon" "google" "pepsi" "pond's"
## [314,] "coca-cola" "amazon" "google" "pepsi" "sabritas"
## [315,] "coca-cola" "amazon" "google" "pepsi" "stefano"
## [316,] "coca-cola" "amazon" "google" "pond's" "barcel"
## [317,] "coca-cola" "amazon" "google" "pond's" "lenovo"
## [318,] "coca-cola" "amazon" "google" "pond's" "pepsi"
## [319,] "coca-cola" "amazon" "google" "pond's" "sabritas"
## [320,] "coca-cola" "amazon" "google" "pond's" "stefano"
## [321,] "coca-cola" "amazon" "google" "sabritas" "barcel"
## [322,] "coca-cola" "amazon" "google" "sabritas" "lenovo"
## [323,] "coca-cola" "amazon" "google" "sabritas" "pepsi"
## [324,] "coca-cola" "amazon" "google" "sabritas" "pond's"
## [325,] "coca-cola" "amazon" "google" "sabritas" "stefano"
## [326,] "coca-cola" "amazon" "google" "stefano" "barcel"
## [327,] "coca-cola" "amazon" "google" "stefano" "lenovo"
## [328,] "coca-cola" "amazon" "google" "stefano" "pepsi"
## [329,] "coca-cola" "amazon" "google" "stefano" "pond's"
## [330,] "coca-cola" "amazon" "google" "stefano" "sabritas"
## [331,] "coca-cola" "barcel" "amazon" "google" "lenovo"
## [332,] "coca-cola" "barcel" "amazon" "google" "pepsi"
## [333,] "coca-cola" "barcel" "amazon" "google" "pond's"
## [334,] "coca-cola" "barcel" "amazon" "google" "sabritas"
## [335,] "coca-cola" "barcel" "amazon" "google" "stefano"
## [336,] "coca-cola" "barcel" "lenovo" "amazon" "google"
## [337,] "coca-cola" "barcel" "pepsi" "amazon" "google"
## [338,] "coca-cola" "barcel" "pond's" "amazon" "google"
## [339,] "coca-cola" "barcel" "sabritas" "amazon" "google"
## [340,] "coca-cola" "barcel" "stefano" "amazon" "google"
## [341,] "coca-cola" "lenovo" "amazon" "google" "barcel"
## [342,] "coca-cola" "lenovo" "amazon" "google" "pepsi"
## [343,] "coca-cola" "lenovo" "amazon" "google" "pond's"
## [344,] "coca-cola" "lenovo" "amazon" "google" "sabritas"
## [345,] "coca-cola" "lenovo" "amazon" "google" "stefano"
## [346,] "coca-cola" "lenovo" "barcel" "amazon" "google"
## [347,] "coca-cola" "lenovo" "pepsi" "amazon" "google"
## [348,] "coca-cola" "lenovo" "pond's" "amazon" "google"
## [349,] "coca-cola" "lenovo" "sabritas" "amazon" "google"
## [350,] "coca-cola" "lenovo" "stefano" "amazon" "google"
## [351,] "coca-cola" "pepsi" "amazon" "google" "barcel"
## [352,] "coca-cola" "pepsi" "amazon" "google" "lenovo"
## [353,] "coca-cola" "pepsi" "amazon" "google" "pond's"
## [354,] "coca-cola" "pepsi" "amazon" "google" "sabritas"
## [355,] "coca-cola" "pepsi" "amazon" "google" "stefano"
## [356,] "coca-cola" "pepsi" "barcel" "amazon" "google"
## [357,] "coca-cola" "pepsi" "lenovo" "amazon" "google"
## [358,] "coca-cola" "pepsi" "pond's" "amazon" "google"
## [359,] "coca-cola" "pepsi" "sabritas" "amazon" "google"
## [360,] "coca-cola" "pepsi" "stefano" "amazon" "google"
## [361,] "coca-cola" "pond's" "amazon" "google" "barcel"
## [362,] "coca-cola" "pond's" "amazon" "google" "lenovo"
## [363,] "coca-cola" "pond's" "amazon" "google" "pepsi"
## [364,] "coca-cola" "pond's" "amazon" "google" "sabritas"
## [365,] "coca-cola" "pond's" "amazon" "google" "stefano"
## [366,] "coca-cola" "pond's" "barcel" "amazon" "google"
## [367,] "coca-cola" "pond's" "lenovo" "amazon" "google"
## [368,] "coca-cola" "pond's" "pepsi" "amazon" "google"
## [369,] "coca-cola" "pond's" "sabritas" "amazon" "google"
## [370,] "coca-cola" "pond's" "stefano" "amazon" "google"
## [371,] "coca-cola" "sabritas" "amazon" "google" "barcel"
## [372,] "coca-cola" "sabritas" "amazon" "google" "lenovo"
## [373,] "coca-cola" "sabritas" "amazon" "google" "pepsi"
## [374,] "coca-cola" "sabritas" "amazon" "google" "pond's"
## [375,] "coca-cola" "sabritas" "amazon" "google" "stefano"
## [376,] "coca-cola" "sabritas" "barcel" "amazon" "google"
## [377,] "coca-cola" "sabritas" "lenovo" "amazon" "google"
## [378,] "coca-cola" "sabritas" "pepsi" "amazon" "google"
## [379,] "coca-cola" "sabritas" "pond's" "amazon" "google"
## [380,] "coca-cola" "sabritas" "stefano" "amazon" "google"
## [381,] "coca-cola" "stefano" "amazon" "google" "barcel"
## [382,] "coca-cola" "stefano" "amazon" "google" "lenovo"
## [383,] "coca-cola" "stefano" "amazon" "google" "pepsi"
## [384,] "coca-cola" "stefano" "amazon" "google" "pond's"
## [385,] "coca-cola" "stefano" "amazon" "google" "sabritas"
## [386,] "coca-cola" "stefano" "barcel" "amazon" "google"
## [387,] "coca-cola" "stefano" "lenovo" "amazon" "google"
## [388,] "coca-cola" "stefano" "pepsi" "amazon" "google"
## [389,] "coca-cola" "stefano" "pond's" "amazon" "google"
## [390,] "coca-cola" "stefano" "sabritas" "amazon" "google"
## [391,] "lenovo" "amazon" "google" "barcel" "coca-cola"
## [392,] "lenovo" "amazon" "google" "barcel" "pepsi"
## [393,] "lenovo" "amazon" "google" "barcel" "pond's"
## [394,] "lenovo" "amazon" "google" "barcel" "sabritas"
## [395,] "lenovo" "amazon" "google" "barcel" "stefano"
## [396,] "lenovo" "amazon" "google" "coca-cola" "barcel"
## [397,] "lenovo" "amazon" "google" "coca-cola" "pepsi"
## [398,] "lenovo" "amazon" "google" "coca-cola" "pond's"
## [399,] "lenovo" "amazon" "google" "coca-cola" "sabritas"
## [400,] "lenovo" "amazon" "google" "coca-cola" "stefano"
## [401,] "lenovo" "amazon" "google" "pepsi" "barcel"
## [402,] "lenovo" "amazon" "google" "pepsi" "coca-cola"
## [403,] "lenovo" "amazon" "google" "pepsi" "pond's"
## [404,] "lenovo" "amazon" "google" "pepsi" "sabritas"
## [405,] "lenovo" "amazon" "google" "pepsi" "stefano"
## [406,] "lenovo" "amazon" "google" "pond's" "barcel"
## [407,] "lenovo" "amazon" "google" "pond's" "coca-cola"
## [408,] "lenovo" "amazon" "google" "pond's" "pepsi"
## [409,] "lenovo" "amazon" "google" "pond's" "sabritas"
## [410,] "lenovo" "amazon" "google" "pond's" "stefano"
## [411,] "lenovo" "amazon" "google" "sabritas" "barcel"
## [412,] "lenovo" "amazon" "google" "sabritas" "coca-cola"
## [413,] "lenovo" "amazon" "google" "sabritas" "pepsi"
## [414,] "lenovo" "amazon" "google" "sabritas" "pond's"
## [415,] "lenovo" "amazon" "google" "sabritas" "stefano"
## [416,] "lenovo" "amazon" "google" "stefano" "barcel"
## [417,] "lenovo" "amazon" "google" "stefano" "coca-cola"
## [418,] "lenovo" "amazon" "google" "stefano" "pepsi"
## [419,] "lenovo" "amazon" "google" "stefano" "pond's"
## [420,] "lenovo" "amazon" "google" "stefano" "sabritas"
## [421,] "lenovo" "barcel" "amazon" "google" "coca-cola"
## [422,] "lenovo" "barcel" "amazon" "google" "pepsi"
## [423,] "lenovo" "barcel" "amazon" "google" "pond's"
## [424,] "lenovo" "barcel" "amazon" "google" "sabritas"
## [425,] "lenovo" "barcel" "amazon" "google" "stefano"
## [426,] "lenovo" "barcel" "coca-cola" "amazon" "google"
## [427,] "lenovo" "barcel" "pepsi" "amazon" "google"
## [428,] "lenovo" "barcel" "pond's" "amazon" "google"
## [429,] "lenovo" "barcel" "sabritas" "amazon" "google"
## [430,] "lenovo" "barcel" "stefano" "amazon" "google"
## [431,] "lenovo" "coca-cola" "amazon" "google" "barcel"
## [432,] "lenovo" "coca-cola" "amazon" "google" "pepsi"
## [433,] "lenovo" "coca-cola" "amazon" "google" "pond's"
## [434,] "lenovo" "coca-cola" "amazon" "google" "sabritas"
## [435,] "lenovo" "coca-cola" "amazon" "google" "stefano"
## [436,] "lenovo" "coca-cola" "barcel" "amazon" "google"
## [437,] "lenovo" "coca-cola" "pepsi" "amazon" "google"
## [438,] "lenovo" "coca-cola" "pond's" "amazon" "google"
## [439,] "lenovo" "coca-cola" "sabritas" "amazon" "google"
## [440,] "lenovo" "coca-cola" "stefano" "amazon" "google"
## [441,] "lenovo" "pepsi" "amazon" "google" "barcel"
## [442,] "lenovo" "pepsi" "amazon" "google" "coca-cola"
## [443,] "lenovo" "pepsi" "amazon" "google" "pond's"
## [444,] "lenovo" "pepsi" "amazon" "google" "sabritas"
## [445,] "lenovo" "pepsi" "amazon" "google" "stefano"
## [446,] "lenovo" "pepsi" "barcel" "amazon" "google"
## [447,] "lenovo" "pepsi" "coca-cola" "amazon" "google"
## [448,] "lenovo" "pepsi" "pond's" "amazon" "google"
## [449,] "lenovo" "pepsi" "sabritas" "amazon" "google"
## [450,] "lenovo" "pepsi" "stefano" "amazon" "google"
## [451,] "lenovo" "pond's" "amazon" "google" "barcel"
## [452,] "lenovo" "pond's" "amazon" "google" "coca-cola"
## [453,] "lenovo" "pond's" "amazon" "google" "pepsi"
## [454,] "lenovo" "pond's" "amazon" "google" "sabritas"
## [455,] "lenovo" "pond's" "amazon" "google" "stefano"
## [456,] "lenovo" "pond's" "barcel" "amazon" "google"
## [457,] "lenovo" "pond's" "coca-cola" "amazon" "google"
## [458,] "lenovo" "pond's" "pepsi" "amazon" "google"
## [459,] "lenovo" "pond's" "sabritas" "amazon" "google"
## [460,] "lenovo" "pond's" "stefano" "amazon" "google"
## [461,] "lenovo" "sabritas" "amazon" "google" "barcel"
## [462,] "lenovo" "sabritas" "amazon" "google" "coca-cola"
## [463,] "lenovo" "sabritas" "amazon" "google" "pepsi"
## [464,] "lenovo" "sabritas" "amazon" "google" "pond's"
## [465,] "lenovo" "sabritas" "amazon" "google" "stefano"
## [466,] "lenovo" "sabritas" "barcel" "amazon" "google"
## [467,] "lenovo" "sabritas" "coca-cola" "amazon" "google"
## [468,] "lenovo" "sabritas" "pepsi" "amazon" "google"
## [469,] "lenovo" "sabritas" "pond's" "amazon" "google"
## [470,] "lenovo" "sabritas" "stefano" "amazon" "google"
## [471,] "lenovo" "stefano" "amazon" "google" "barcel"
## [472,] "lenovo" "stefano" "amazon" "google" "coca-cola"
## [473,] "lenovo" "stefano" "amazon" "google" "pepsi"
## [474,] "lenovo" "stefano" "amazon" "google" "pond's"
## [475,] "lenovo" "stefano" "amazon" "google" "sabritas"
## [476,] "lenovo" "stefano" "barcel" "amazon" "google"
## [477,] "lenovo" "stefano" "coca-cola" "amazon" "google"
## [478,] "lenovo" "stefano" "pepsi" "amazon" "google"
## [479,] "lenovo" "stefano" "pond's" "amazon" "google"
## [480,] "lenovo" "stefano" "sabritas" "amazon" "google"
## [481,] "pepsi" "amazon" "google" "barcel" "coca-cola"
## [482,] "pepsi" "amazon" "google" "barcel" "lenovo"
## [483,] "pepsi" "amazon" "google" "barcel" "pond's"
## [484,] "pepsi" "amazon" "google" "barcel" "sabritas"
## [485,] "pepsi" "amazon" "google" "barcel" "stefano"
## [486,] "pepsi" "amazon" "google" "coca-cola" "barcel"
## [487,] "pepsi" "amazon" "google" "coca-cola" "lenovo"
## [488,] "pepsi" "amazon" "google" "coca-cola" "pond's"
## [489,] "pepsi" "amazon" "google" "coca-cola" "sabritas"
## [490,] "pepsi" "amazon" "google" "coca-cola" "stefano"
## [491,] "pepsi" "amazon" "google" "lenovo" "barcel"
## [492,] "pepsi" "amazon" "google" "lenovo" "coca-cola"
## [493,] "pepsi" "amazon" "google" "lenovo" "pond's"
## [494,] "pepsi" "amazon" "google" "lenovo" "sabritas"
## [495,] "pepsi" "amazon" "google" "lenovo" "stefano"
## [496,] "pepsi" "amazon" "google" "pond's" "barcel"
## [497,] "pepsi" "amazon" "google" "pond's" "coca-cola"
## [498,] "pepsi" "amazon" "google" "pond's" "lenovo"
## [499,] "pepsi" "amazon" "google" "pond's" "sabritas"
## [500,] "pepsi" "amazon" "google" "pond's" "stefano"
## [501,] "pepsi" "amazon" "google" "sabritas" "barcel"
## [502,] "pepsi" "amazon" "google" "sabritas" "coca-cola"
## [503,] "pepsi" "amazon" "google" "sabritas" "lenovo"
## [504,] "pepsi" "amazon" "google" "sabritas" "pond's"
## [505,] "pepsi" "amazon" "google" "sabritas" "stefano"
## [506,] "pepsi" "amazon" "google" "stefano" "barcel"
## [507,] "pepsi" "amazon" "google" "stefano" "coca-cola"
## [508,] "pepsi" "amazon" "google" "stefano" "lenovo"
## [509,] "pepsi" "amazon" "google" "stefano" "pond's"
## [510,] "pepsi" "amazon" "google" "stefano" "sabritas"
## [511,] "pepsi" "barcel" "amazon" "google" "coca-cola"
## [512,] "pepsi" "barcel" "amazon" "google" "lenovo"
## [513,] "pepsi" "barcel" "amazon" "google" "pond's"
## [514,] "pepsi" "barcel" "amazon" "google" "sabritas"
## [515,] "pepsi" "barcel" "amazon" "google" "stefano"
## [516,] "pepsi" "barcel" "coca-cola" "amazon" "google"
## [517,] "pepsi" "barcel" "lenovo" "amazon" "google"
## [518,] "pepsi" "barcel" "pond's" "amazon" "google"
## [519,] "pepsi" "barcel" "sabritas" "amazon" "google"
## [520,] "pepsi" "barcel" "stefano" "amazon" "google"
## [521,] "pepsi" "coca-cola" "amazon" "google" "barcel"
## [522,] "pepsi" "coca-cola" "amazon" "google" "lenovo"
## [523,] "pepsi" "coca-cola" "amazon" "google" "pond's"
## [524,] "pepsi" "coca-cola" "amazon" "google" "sabritas"
## [525,] "pepsi" "coca-cola" "amazon" "google" "stefano"
## [526,] "pepsi" "coca-cola" "barcel" "amazon" "google"
## [527,] "pepsi" "coca-cola" "lenovo" "amazon" "google"
## [528,] "pepsi" "coca-cola" "pond's" "amazon" "google"
## [529,] "pepsi" "coca-cola" "sabritas" "amazon" "google"
## [530,] "pepsi" "coca-cola" "stefano" "amazon" "google"
## [531,] "pepsi" "lenovo" "amazon" "google" "barcel"
## [532,] "pepsi" "lenovo" "amazon" "google" "coca-cola"
## [533,] "pepsi" "lenovo" "amazon" "google" "pond's"
## [534,] "pepsi" "lenovo" "amazon" "google" "sabritas"
## [535,] "pepsi" "lenovo" "amazon" "google" "stefano"
## [536,] "pepsi" "lenovo" "barcel" "amazon" "google"
## [537,] "pepsi" "lenovo" "coca-cola" "amazon" "google"
## [538,] "pepsi" "lenovo" "pond's" "amazon" "google"
## [539,] "pepsi" "lenovo" "sabritas" "amazon" "google"
## [540,] "pepsi" "lenovo" "stefano" "amazon" "google"
## [541,] "pepsi" "pond's" "amazon" "google" "barcel"
## [542,] "pepsi" "pond's" "amazon" "google" "coca-cola"
## [543,] "pepsi" "pond's" "amazon" "google" "lenovo"
## [544,] "pepsi" "pond's" "amazon" "google" "sabritas"
## [545,] "pepsi" "pond's" "amazon" "google" "stefano"
## [546,] "pepsi" "pond's" "barcel" "amazon" "google"
## [547,] "pepsi" "pond's" "coca-cola" "amazon" "google"
## [548,] "pepsi" "pond's" "lenovo" "amazon" "google"
## [549,] "pepsi" "pond's" "sabritas" "amazon" "google"
## [550,] "pepsi" "pond's" "stefano" "amazon" "google"
## [551,] "pepsi" "sabritas" "amazon" "google" "barcel"
## [552,] "pepsi" "sabritas" "amazon" "google" "coca-cola"
## [553,] "pepsi" "sabritas" "amazon" "google" "lenovo"
## [554,] "pepsi" "sabritas" "amazon" "google" "pond's"
## [555,] "pepsi" "sabritas" "amazon" "google" "stefano"
## [556,] "pepsi" "sabritas" "barcel" "amazon" "google"
## [557,] "pepsi" "sabritas" "coca-cola" "amazon" "google"
## [558,] "pepsi" "sabritas" "lenovo" "amazon" "google"
## [559,] "pepsi" "sabritas" "pond's" "amazon" "google"
## [560,] "pepsi" "sabritas" "stefano" "amazon" "google"
## [561,] "pepsi" "stefano" "amazon" "google" "barcel"
## [562,] "pepsi" "stefano" "amazon" "google" "coca-cola"
## [563,] "pepsi" "stefano" "amazon" "google" "lenovo"
## [564,] "pepsi" "stefano" "amazon" "google" "pond's"
## [565,] "pepsi" "stefano" "amazon" "google" "sabritas"
## [566,] "pepsi" "stefano" "barcel" "amazon" "google"
## [567,] "pepsi" "stefano" "coca-cola" "amazon" "google"
## [568,] "pepsi" "stefano" "lenovo" "amazon" "google"
## [569,] "pepsi" "stefano" "pond's" "amazon" "google"
## [570,] "pepsi" "stefano" "sabritas" "amazon" "google"
## [571,] "pond's" "amazon" "google" "barcel" "coca-cola"
## [572,] "pond's" "amazon" "google" "barcel" "lenovo"
## [573,] "pond's" "amazon" "google" "barcel" "pepsi"
## [574,] "pond's" "amazon" "google" "barcel" "sabritas"
## [575,] "pond's" "amazon" "google" "barcel" "stefano"
## [576,] "pond's" "amazon" "google" "coca-cola" "barcel"
## [577,] "pond's" "amazon" "google" "coca-cola" "lenovo"
## [578,] "pond's" "amazon" "google" "coca-cola" "pepsi"
## [579,] "pond's" "amazon" "google" "coca-cola" "sabritas"
## [580,] "pond's" "amazon" "google" "coca-cola" "stefano"
## [581,] "pond's" "amazon" "google" "lenovo" "barcel"
## [582,] "pond's" "amazon" "google" "lenovo" "coca-cola"
## [583,] "pond's" "amazon" "google" "lenovo" "pepsi"
## [584,] "pond's" "amazon" "google" "lenovo" "sabritas"
## [585,] "pond's" "amazon" "google" "lenovo" "stefano"
## [586,] "pond's" "amazon" "google" "pepsi" "barcel"
## [587,] "pond's" "amazon" "google" "pepsi" "coca-cola"
## [588,] "pond's" "amazon" "google" "pepsi" "lenovo"
## [589,] "pond's" "amazon" "google" "pepsi" "sabritas"
## [590,] "pond's" "amazon" "google" "pepsi" "stefano"
## [591,] "pond's" "amazon" "google" "sabritas" "barcel"
## [592,] "pond's" "amazon" "google" "sabritas" "coca-cola"
## [593,] "pond's" "amazon" "google" "sabritas" "lenovo"
## [594,] "pond's" "amazon" "google" "sabritas" "pepsi"
## [595,] "pond's" "amazon" "google" "sabritas" "stefano"
## [596,] "pond's" "amazon" "google" "stefano" "barcel"
## [597,] "pond's" "amazon" "google" "stefano" "coca-cola"
## [598,] "pond's" "amazon" "google" "stefano" "lenovo"
## [599,] "pond's" "amazon" "google" "stefano" "pepsi"
## [600,] "pond's" "amazon" "google" "stefano" "sabritas"
## [601,] "pond's" "barcel" "amazon" "google" "coca-cola"
## [602,] "pond's" "barcel" "amazon" "google" "lenovo"
## [603,] "pond's" "barcel" "amazon" "google" "pepsi"
## [604,] "pond's" "barcel" "amazon" "google" "sabritas"
## [605,] "pond's" "barcel" "amazon" "google" "stefano"
## [606,] "pond's" "barcel" "coca-cola" "amazon" "google"
## [607,] "pond's" "barcel" "lenovo" "amazon" "google"
## [608,] "pond's" "barcel" "pepsi" "amazon" "google"
## [609,] "pond's" "barcel" "sabritas" "amazon" "google"
## [610,] "pond's" "barcel" "stefano" "amazon" "google"
## [611,] "pond's" "coca-cola" "amazon" "google" "barcel"
## [612,] "pond's" "coca-cola" "amazon" "google" "lenovo"
## [613,] "pond's" "coca-cola" "amazon" "google" "pepsi"
## [614,] "pond's" "coca-cola" "amazon" "google" "sabritas"
## [615,] "pond's" "coca-cola" "amazon" "google" "stefano"
## [616,] "pond's" "coca-cola" "barcel" "amazon" "google"
## [617,] "pond's" "coca-cola" "lenovo" "amazon" "google"
## [618,] "pond's" "coca-cola" "pepsi" "amazon" "google"
## [619,] "pond's" "coca-cola" "sabritas" "amazon" "google"
## [620,] "pond's" "coca-cola" "stefano" "amazon" "google"
## [621,] "pond's" "lenovo" "amazon" "google" "barcel"
## [622,] "pond's" "lenovo" "amazon" "google" "coca-cola"
## [623,] "pond's" "lenovo" "amazon" "google" "pepsi"
## [624,] "pond's" "lenovo" "amazon" "google" "sabritas"
## [625,] "pond's" "lenovo" "amazon" "google" "stefano"
## [626,] "pond's" "lenovo" "barcel" "amazon" "google"
## [627,] "pond's" "lenovo" "coca-cola" "amazon" "google"
## [628,] "pond's" "lenovo" "pepsi" "amazon" "google"
## [629,] "pond's" "lenovo" "sabritas" "amazon" "google"
## [630,] "pond's" "lenovo" "stefano" "amazon" "google"
## [631,] "pond's" "pepsi" "amazon" "google" "barcel"
## [632,] "pond's" "pepsi" "amazon" "google" "coca-cola"
## [633,] "pond's" "pepsi" "amazon" "google" "lenovo"
## [634,] "pond's" "pepsi" "amazon" "google" "sabritas"
## [635,] "pond's" "pepsi" "amazon" "google" "stefano"
## [636,] "pond's" "pepsi" "barcel" "amazon" "google"
## [637,] "pond's" "pepsi" "coca-cola" "amazon" "google"
## [638,] "pond's" "pepsi" "lenovo" "amazon" "google"
## [639,] "pond's" "pepsi" "sabritas" "amazon" "google"
## [640,] "pond's" "pepsi" "stefano" "amazon" "google"
## [641,] "pond's" "sabritas" "amazon" "google" "barcel"
## [642,] "pond's" "sabritas" "amazon" "google" "coca-cola"
## [643,] "pond's" "sabritas" "amazon" "google" "lenovo"
## [644,] "pond's" "sabritas" "amazon" "google" "pepsi"
## [645,] "pond's" "sabritas" "amazon" "google" "stefano"
## [646,] "pond's" "sabritas" "barcel" "amazon" "google"
## [647,] "pond's" "sabritas" "coca-cola" "amazon" "google"
## [648,] "pond's" "sabritas" "lenovo" "amazon" "google"
## [649,] "pond's" "sabritas" "pepsi" "amazon" "google"
## [650,] "pond's" "sabritas" "stefano" "amazon" "google"
## [651,] "pond's" "stefano" "amazon" "google" "barcel"
## [652,] "pond's" "stefano" "amazon" "google" "coca-cola"
## [653,] "pond's" "stefano" "amazon" "google" "lenovo"
## [654,] "pond's" "stefano" "amazon" "google" "pepsi"
## [655,] "pond's" "stefano" "amazon" "google" "sabritas"
## [656,] "pond's" "stefano" "barcel" "amazon" "google"
## [657,] "pond's" "stefano" "coca-cola" "amazon" "google"
## [658,] "pond's" "stefano" "lenovo" "amazon" "google"
## [659,] "pond's" "stefano" "pepsi" "amazon" "google"
## [660,] "pond's" "stefano" "sabritas" "amazon" "google"
## [661,] "sabritas" "amazon" "google" "barcel" "coca-cola"
## [662,] "sabritas" "amazon" "google" "barcel" "lenovo"
## [663,] "sabritas" "amazon" "google" "barcel" "pepsi"
## [664,] "sabritas" "amazon" "google" "barcel" "pond's"
## [665,] "sabritas" "amazon" "google" "barcel" "stefano"
## [666,] "sabritas" "amazon" "google" "coca-cola" "barcel"
## [667,] "sabritas" "amazon" "google" "coca-cola" "lenovo"
## [668,] "sabritas" "amazon" "google" "coca-cola" "pepsi"
## [669,] "sabritas" "amazon" "google" "coca-cola" "pond's"
## [670,] "sabritas" "amazon" "google" "coca-cola" "stefano"
## [671,] "sabritas" "amazon" "google" "lenovo" "barcel"
## [672,] "sabritas" "amazon" "google" "lenovo" "coca-cola"
## [673,] "sabritas" "amazon" "google" "lenovo" "pepsi"
## [674,] "sabritas" "amazon" "google" "lenovo" "pond's"
## [675,] "sabritas" "amazon" "google" "lenovo" "stefano"
## [676,] "sabritas" "amazon" "google" "pepsi" "barcel"
## [677,] "sabritas" "amazon" "google" "pepsi" "coca-cola"
## [678,] "sabritas" "amazon" "google" "pepsi" "lenovo"
## [679,] "sabritas" "amazon" "google" "pepsi" "pond's"
## [680,] "sabritas" "amazon" "google" "pepsi" "stefano"
## [681,] "sabritas" "amazon" "google" "pond's" "barcel"
## [682,] "sabritas" "amazon" "google" "pond's" "coca-cola"
## [683,] "sabritas" "amazon" "google" "pond's" "lenovo"
## [684,] "sabritas" "amazon" "google" "pond's" "pepsi"
## [685,] "sabritas" "amazon" "google" "pond's" "stefano"
## [686,] "sabritas" "amazon" "google" "stefano" "barcel"
## [687,] "sabritas" "amazon" "google" "stefano" "coca-cola"
## [688,] "sabritas" "amazon" "google" "stefano" "lenovo"
## [689,] "sabritas" "amazon" "google" "stefano" "pepsi"
## [690,] "sabritas" "amazon" "google" "stefano" "pond's"
## [691,] "sabritas" "barcel" "amazon" "google" "coca-cola"
## [692,] "sabritas" "barcel" "amazon" "google" "lenovo"
## [693,] "sabritas" "barcel" "amazon" "google" "pepsi"
## [694,] "sabritas" "barcel" "amazon" "google" "pond's"
## [695,] "sabritas" "barcel" "amazon" "google" "stefano"
## [696,] "sabritas" "barcel" "coca-cola" "amazon" "google"
## [697,] "sabritas" "barcel" "lenovo" "amazon" "google"
## [698,] "sabritas" "barcel" "pepsi" "amazon" "google"
## [699,] "sabritas" "barcel" "pond's" "amazon" "google"
## [700,] "sabritas" "barcel" "stefano" "amazon" "google"
## [701,] "sabritas" "coca-cola" "amazon" "google" "barcel"
## [702,] "sabritas" "coca-cola" "amazon" "google" "lenovo"
## [703,] "sabritas" "coca-cola" "amazon" "google" "pepsi"
## [704,] "sabritas" "coca-cola" "amazon" "google" "pond's"
## [705,] "sabritas" "coca-cola" "amazon" "google" "stefano"
## [706,] "sabritas" "coca-cola" "barcel" "amazon" "google"
## [707,] "sabritas" "coca-cola" "lenovo" "amazon" "google"
## [708,] "sabritas" "coca-cola" "pepsi" "amazon" "google"
## [709,] "sabritas" "coca-cola" "pond's" "amazon" "google"
## [710,] "sabritas" "coca-cola" "stefano" "amazon" "google"
## [711,] "sabritas" "lenovo" "amazon" "google" "barcel"
## [712,] "sabritas" "lenovo" "amazon" "google" "coca-cola"
## [713,] "sabritas" "lenovo" "amazon" "google" "pepsi"
## [714,] "sabritas" "lenovo" "amazon" "google" "pond's"
## [715,] "sabritas" "lenovo" "amazon" "google" "stefano"
## [716,] "sabritas" "lenovo" "barcel" "amazon" "google"
## [717,] "sabritas" "lenovo" "coca-cola" "amazon" "google"
## [718,] "sabritas" "lenovo" "pepsi" "amazon" "google"
## [719,] "sabritas" "lenovo" "pond's" "amazon" "google"
## [720,] "sabritas" "lenovo" "stefano" "amazon" "google"
## [721,] "sabritas" "pepsi" "amazon" "google" "barcel"
## [722,] "sabritas" "pepsi" "amazon" "google" "coca-cola"
## [723,] "sabritas" "pepsi" "amazon" "google" "lenovo"
## [724,] "sabritas" "pepsi" "amazon" "google" "pond's"
## [725,] "sabritas" "pepsi" "amazon" "google" "stefano"
## [726,] "sabritas" "pepsi" "barcel" "amazon" "google"
## [727,] "sabritas" "pepsi" "coca-cola" "amazon" "google"
## [728,] "sabritas" "pepsi" "lenovo" "amazon" "google"
## [729,] "sabritas" "pepsi" "pond's" "amazon" "google"
## [730,] "sabritas" "pepsi" "stefano" "amazon" "google"
## [731,] "sabritas" "pond's" "amazon" "google" "barcel"
## [732,] "sabritas" "pond's" "amazon" "google" "coca-cola"
## [733,] "sabritas" "pond's" "amazon" "google" "lenovo"
## [734,] "sabritas" "pond's" "amazon" "google" "pepsi"
## [735,] "sabritas" "pond's" "amazon" "google" "stefano"
## [736,] "sabritas" "pond's" "barcel" "amazon" "google"
## [737,] "sabritas" "pond's" "coca-cola" "amazon" "google"
## [738,] "sabritas" "pond's" "lenovo" "amazon" "google"
## [739,] "sabritas" "pond's" "pepsi" "amazon" "google"
## [740,] "sabritas" "pond's" "stefano" "amazon" "google"
## [741,] "sabritas" "stefano" "amazon" "google" "barcel"
## [742,] "sabritas" "stefano" "amazon" "google" "coca-cola"
## [743,] "sabritas" "stefano" "amazon" "google" "lenovo"
## [744,] "sabritas" "stefano" "amazon" "google" "pepsi"
## [745,] "sabritas" "stefano" "amazon" "google" "pond's"
## [746,] "sabritas" "stefano" "barcel" "amazon" "google"
## [747,] "sabritas" "stefano" "coca-cola" "amazon" "google"
## [748,] "sabritas" "stefano" "lenovo" "amazon" "google"
## [749,] "sabritas" "stefano" "pepsi" "amazon" "google"
## [750,] "sabritas" "stefano" "pond's" "amazon" "google"
## [751,] "stefano" "amazon" "google" "barcel" "coca-cola"
## [752,] "stefano" "amazon" "google" "barcel" "lenovo"
## [753,] "stefano" "amazon" "google" "barcel" "pepsi"
## [754,] "stefano" "amazon" "google" "barcel" "pond's"
## [755,] "stefano" "amazon" "google" "barcel" "sabritas"
## [756,] "stefano" "amazon" "google" "coca-cola" "barcel"
## [757,] "stefano" "amazon" "google" "coca-cola" "lenovo"
## [758,] "stefano" "amazon" "google" "coca-cola" "pepsi"
## [759,] "stefano" "amazon" "google" "coca-cola" "pond's"
## [760,] "stefano" "amazon" "google" "coca-cola" "sabritas"
## [761,] "stefano" "amazon" "google" "lenovo" "barcel"
## [762,] "stefano" "amazon" "google" "lenovo" "coca-cola"
## [763,] "stefano" "amazon" "google" "lenovo" "pepsi"
## [764,] "stefano" "amazon" "google" "lenovo" "pond's"
## [765,] "stefano" "amazon" "google" "lenovo" "sabritas"
## [766,] "stefano" "amazon" "google" "pepsi" "barcel"
## [767,] "stefano" "amazon" "google" "pepsi" "coca-cola"
## [768,] "stefano" "amazon" "google" "pepsi" "lenovo"
## [769,] "stefano" "amazon" "google" "pepsi" "pond's"
## [770,] "stefano" "amazon" "google" "pepsi" "sabritas"
## [771,] "stefano" "amazon" "google" "pond's" "barcel"
## [772,] "stefano" "amazon" "google" "pond's" "coca-cola"
## [773,] "stefano" "amazon" "google" "pond's" "lenovo"
## [774,] "stefano" "amazon" "google" "pond's" "pepsi"
## [775,] "stefano" "amazon" "google" "pond's" "sabritas"
## [776,] "stefano" "amazon" "google" "sabritas" "barcel"
## [777,] "stefano" "amazon" "google" "sabritas" "coca-cola"
## [778,] "stefano" "amazon" "google" "sabritas" "lenovo"
## [779,] "stefano" "amazon" "google" "sabritas" "pepsi"
## [780,] "stefano" "amazon" "google" "sabritas" "pond's"
## [781,] "stefano" "barcel" "amazon" "google" "coca-cola"
## [782,] "stefano" "barcel" "amazon" "google" "lenovo"
## [783,] "stefano" "barcel" "amazon" "google" "pepsi"
## [784,] "stefano" "barcel" "amazon" "google" "pond's"
## [785,] "stefano" "barcel" "amazon" "google" "sabritas"
## [786,] "stefano" "barcel" "coca-cola" "amazon" "google"
## [787,] "stefano" "barcel" "lenovo" "amazon" "google"
## [788,] "stefano" "barcel" "pepsi" "amazon" "google"
## [789,] "stefano" "barcel" "pond's" "amazon" "google"
## [790,] "stefano" "barcel" "sabritas" "amazon" "google"
## [791,] "stefano" "coca-cola" "amazon" "google" "barcel"
## [792,] "stefano" "coca-cola" "amazon" "google" "lenovo"
## [793,] "stefano" "coca-cola" "amazon" "google" "pepsi"
## [794,] "stefano" "coca-cola" "amazon" "google" "pond's"
## [795,] "stefano" "coca-cola" "amazon" "google" "sabritas"
## [796,] "stefano" "coca-cola" "barcel" "amazon" "google"
## [797,] "stefano" "coca-cola" "lenovo" "amazon" "google"
## [798,] "stefano" "coca-cola" "pepsi" "amazon" "google"
## [799,] "stefano" "coca-cola" "pond's" "amazon" "google"
## [800,] "stefano" "coca-cola" "sabritas" "amazon" "google"
## [801,] "stefano" "lenovo" "amazon" "google" "barcel"
## [802,] "stefano" "lenovo" "amazon" "google" "coca-cola"
## [803,] "stefano" "lenovo" "amazon" "google" "pepsi"
## [804,] "stefano" "lenovo" "amazon" "google" "pond's"
## [805,] "stefano" "lenovo" "amazon" "google" "sabritas"
## [806,] "stefano" "lenovo" "barcel" "amazon" "google"
## [807,] "stefano" "lenovo" "coca-cola" "amazon" "google"
## [808,] "stefano" "lenovo" "pepsi" "amazon" "google"
## [809,] "stefano" "lenovo" "pond's" "amazon" "google"
## [810,] "stefano" "lenovo" "sabritas" "amazon" "google"
## [811,] "stefano" "pepsi" "amazon" "google" "barcel"
## [812,] "stefano" "pepsi" "amazon" "google" "coca-cola"
## [813,] "stefano" "pepsi" "amazon" "google" "lenovo"
## [814,] "stefano" "pepsi" "amazon" "google" "pond's"
## [815,] "stefano" "pepsi" "amazon" "google" "sabritas"
## [816,] "stefano" "pepsi" "barcel" "amazon" "google"
## [817,] "stefano" "pepsi" "coca-cola" "amazon" "google"
## [818,] "stefano" "pepsi" "lenovo" "amazon" "google"
## [819,] "stefano" "pepsi" "pond's" "amazon" "google"
## [820,] "stefano" "pepsi" "sabritas" "amazon" "google"
## [821,] "stefano" "pond's" "amazon" "google" "barcel"
## [822,] "stefano" "pond's" "amazon" "google" "coca-cola"
## [823,] "stefano" "pond's" "amazon" "google" "lenovo"
## [824,] "stefano" "pond's" "amazon" "google" "pepsi"
## [825,] "stefano" "pond's" "amazon" "google" "sabritas"
## [826,] "stefano" "pond's" "barcel" "amazon" "google"
## [827,] "stefano" "pond's" "coca-cola" "amazon" "google"
## [828,] "stefano" "pond's" "lenovo" "amazon" "google"
## [829,] "stefano" "pond's" "pepsi" "amazon" "google"
## [830,] "stefano" "pond's" "sabritas" "amazon" "google"
## [831,] "stefano" "sabritas" "amazon" "google" "barcel"
## [832,] "stefano" "sabritas" "amazon" "google" "coca-cola"
## [833,] "stefano" "sabritas" "amazon" "google" "lenovo"
## [834,] "stefano" "sabritas" "amazon" "google" "pepsi"
## [835,] "stefano" "sabritas" "amazon" "google" "pond's"
## [836,] "stefano" "sabritas" "barcel" "amazon" "google"
## [837,] "stefano" "sabritas" "coca-cola" "amazon" "google"
## [838,] "stefano" "sabritas" "lenovo" "amazon" "google"
## [839,] "stefano" "sabritas" "pepsi" "amazon" "google"
## [840,] "stefano" "sabritas" "pond's" "amazon" "google"frecuencia <- nrow(filtro)
paste("Existen ", frecuencia, " aparece de manera contigua y en este orden los equipos de amazon y google en cualquier columna , de un total de ", nrow(Pern.equipos), " representan ", round(frecuencia / nrow(Pern.equipos) * 100, 2), "%")## [1] "Existen 840 aparece de manera contigua y en este orden los equipos de amazon y google en cualquier columna , de un total de 15120 representan 5.56 %"