{"id":14100,"date":"2025-07-15T13:34:47","date_gmt":"2025-07-15T13:34:47","guid":{"rendered":"https:\/\/functiontranslator.com\/multinomial\/"},"modified":"2021-02-26T08:54:13","modified_gmt":"2021-02-26T08:54:13","slug":"multinomial","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/es\/multinomial\/","title":{"rendered":"MULTINOMIAL"},"content":{"rendered":"

Descripci\u00f3n General de la Funci\u00f3n Multinomial<\/h2>\n

La funci\u00f3n MULTINOMIAL en Excel y Google Sheets est\u00e1 dise\u00f1ada para calcular el coeficiente multinomial, una extensi\u00f3n del coeficiente binomial tradicional. Este coeficiente es ampliamente utilizado en el campo de la estad\u00edstica y la probabilidad, especialmente en el an\u00e1lisis y c\u00e1lculo de distribuciones multinomiales que involucran agrupaciones de elementos en m\u00faltiples categor\u00edas.<\/p>\n

Sintaxis y Ejemplos de Uso<\/h2>\n

La sintaxis para utilizar esta funci\u00f3n en ambos programas es la siguiente:<\/p>\n

=MULTINOMIAL(n\u00famero1, [n\u00famero2], ...)<\/code><\/pre>\n
En esta expresi\u00f3n, n\u00famero1, n\u00famero2, ...<\/code> corresponden a los conteos de elementos en cada grupo. La funci\u00f3n devuelve el coeficiente multinomial calculado mediante la f\u00f3rmula:<\/p>\n
(n!) \/ (n1! * n2! * ... * nk!)<\/code><\/pre>\n
donde n<\/code> representa la suma de todos los argumentos y n1, n2, ..., nk<\/code> son los tama\u00f1os de cada grupo individual.<\/p>\n
Ejemplo:<\/strong><\/p>\n
    \n
  • Para calcular c\u00f3mo dividir 10 objetos en tres grupos de 4, 3 y 3 objetos, se emplear\u00eda la f\u00f3rmula:\n
    =MULTINOMIAL(4, 3, 3)<\/code><\/pre>\n<\/li>\n<\/ul>\n
    Aplicaciones Pr\u00e1cticas del Coeficiente Multinomial<\/h2>\n
    1. Problema de Distribuci\u00f3n de Objetos<\/h3>\n
    Consideremos el caso de una oficina que desea distribuir 20 bol\u00edgrafos entre cuatro empleados, asignando 5, 7, 3 y 5 bol\u00edgrafos a cada uno respectivamente.<\/p>\n
    Soluci\u00f3n: <\/p>\n
    =MULTINOMIAL(5, 7, 3, 5)<\/code><\/pre>\n
     Este c\u00e1lculo revela las distintas maneras en que los bol\u00edgrafos pueden ser distribuidos siguiendo las especificaciones dadas.<\/p>\n
    2. Planificaci\u00f3n de Tareas<\/h3>\n
    En un proyecto, un l\u00edder necesita asignar 15 tareas distintas entre tres subordinados, de las cuales el primero debe recibir 7 tareas, el segundo 5 y el tercero 3.<\/p>\n
    Soluci\u00f3n: <\/p>\n
    =MULTINOMIAL(7, 5, 3)<\/code><\/pre>\n
     El resultado de esta funci\u00f3n indica el n\u00famero de posibles formas de asignar las tareas seg\u00fan lo requerido.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Devuelve el polinomio de un conjunto de n\u00fameros<\/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-14100","post","type-post","status-publish","format-standard","hentry","category-matematicas-y-trigonometria"],"acf":[],"yoast_head":"\nFunci\u00f3n MULTINOMIAL en Excel \u2013 c\u00f3mo funciona, ejemplos y sintaxis<\/title>\n<meta name=\"description\" content=\"Explicaci\u00f3n breve de la funci\u00f3n MULTINOMIAL de Excel. 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