{"id":13957,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/fact\/"},"modified":"2021-02-26T08:47:08","modified_gmt":"2021-02-26T08:47:08","slug":"fact","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/fact\/","title":{"rendered":"FACT"},"content":{"rendered":"
 
Introducci\u00f3n<\/h2> 
En el \u00e1mbito de Excel y Google Sheets, existen funciones dise\u00f1adas para realizar c\u00e1lculos matem\u00e1ticos complejos, facilitando as\u00ed la gesti\u00f3n y el an\u00e1lisis de grandes vol\u00famenes de datos. Una de estas funciones es FACT, que se emplea para calcular el factorial de un n\u00famero espec\u00edfico. El factorial de un n\u00famero entero positivo n, representado como n!, es igual al producto de todos los enteros positivos desde 1 hasta n.<\/p> 
Sintaxis y Ejemplos<\/h2> 
La sintaxis de la funci\u00f3n FACT en Excel y Google Sheets es directa:<\/p> 
 FACT(numero)<\/code> <\/pre>\n
Donde numero<\/code> es el entero no negativo cuyo factorial deseamos calcular.<\/p>\n
Ejemplo:<\/strong><\/p>\n
 =FACT(5)<\/code> <\/pre>\n
Este ejemplo retornar\u00e1 120, porque el factorial de 5 (5!) es 1*2*3*4*5 = 120.<\/p>\n
Aplicaciones Pr\u00e1cticas<\/h2>\n
La funci\u00f3n FACT resulta \u00fatil en diversos contextos, especialmente en campos relacionados con matem\u00e1ticas y estad\u00edstica. A continuaci\u00f3n, se describen algunos escenarios pr\u00e1cticos donde se puede aplicar esta funci\u00f3n.<\/p>\n
Problema 1: C\u00e1lculo de Permutaciones<\/h2>\n
En estad\u00edstica, el n\u00famero de formas distintas en que se pueden ordenar un conjunto de objetos se denomina permutaci\u00f3n. Se pueden calcular estas permutaciones utilizando factoriales.<\/p>\n
Enunciado:<\/strong> Supongamos que deseamos determinar cu\u00e1ntas formas distintas hay de ordenar las letras en la palabra \"CASA\".<\/p>\n
    \n
  1. Observamos que \"CASA\" consta de 4 letras, pero la 'A' aparece repetida 2 veces.<\/li>\n
  2. La f\u00f3rmula para calcular permutaciones con elementos repetidos es:<\/li>\n
     P = n! \/ (n1! * n2! * ... * nk!)<\/code> <\/pre>\n
  3. Implementamos la f\u00f3rmula:<\/li>\n
     =FACT(4) \/ (FACT(2) * FACT(1) * FACT(1)) = 24 \/ (2 * 1 * 1) = 12<\/code> <\/pre>\n
  4. Resulta que hay 12 maneras diferentes de ordenar las letras en la palabra \"CASA\".<\/li>\n<\/ol>\n
    Problema 2: Combinaciones de Equipos<\/h2>\n
    Imaginemos que un docente desea formar equipos de 3 estudiantes a partir de un grupo de 5. El n\u00famero de combinaciones posibles se puede calcular usando el coeficiente binomial, que tambi\u00e9n se basa en factoriales.<\/p>\n
      \n
    1. El n\u00famero de combinaciones de 5 estudiantes tomados de a tres se calcula con la siguiente f\u00f3rmula:<\/li>\n
       C(n, k) = n! \/ (k! * (n-k)!)<\/code> <\/pre>\n
    2. Al insertar los valores, obtenemos:<\/li>\n
       =FACT(5) \/ (FACT(3) * FACT(5-3)) = 120 \/ (6 * 2) = 10<\/code> <\/pre>\n
    3. Existen 10 maneras distintas de seleccionar 3 estudiantes de un grupo de 5.<\/li>\n<\/ol>\n
      Como se observa, la funci\u00f3n FACT es extremadamente valiosa en \u00e1reas que involucran combinatoria, as\u00ed como en c\u00e1lculos relatos a probabilidad y estad\u00edstica.<\/p>\n","protected":false},"excerpt":{"rendered":"
      Devuelve el factorial de un n\u00famero<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[535],"tags":[],"class_list":["post-13957","post","type-post","status-publish","format-standard","hentry","category-matematicas-y-trigonometria"],"acf":[],"yoast_head":"\nFunci\u00f3n FACT en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n FACT de Excel. 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