{"id":6532,"date":"2025-07-15T13:34:48","date_gmt":"2025-07-15T13:34:48","guid":{"rendered":"https:\/\/functiontranslator.com\/fact\/"},"modified":"2021-02-26T08:06:00","modified_gmt":"2021-02-26T08:06:00","slug":"fact","status":"publish","type":"post","link":"https:\/\/functiontranslator.com\/fr\/fact\/","title":{"rendered":"FACT"},"content":{"rendered":"

Introduction \u00e0 la fonction FACT<\/h2>\n

La fonction FACT, disponible dans Excel et Google Sheets, permet de calculer la factorielle d’un nombre entier non n\u00e9gatif. La factorielle d’un nombre correspond au produit de tous les entiers positifs jusqu’\u00e0 ce nombre inclus. La syntaxe de la fonction est la suivante :<\/p>\n

 FACT(nombre)<\/code> <\/pre>\n
O\u00f9 nombre<\/code> est l’entier non n\u00e9gatif pour lequel la factorielle doit \u00eatre calcul\u00e9e.<\/p>\n
Exemples d’utilisation<\/h2>\n
Voici quelques exemples concrets pour d\u00e9montrer l’utilisation de cette fonction :<\/p>\n
 =FACT(5) -> R\u00e9sultat: 120 =FACT(3) -> R\u00e9sultat: 6 =FACT(0) -> R\u00e9sultat: 1<\/code> <\/pre>\n
Ces exemples confirment que la fonction FACT calcule correctement la factorielle du nombre sp\u00e9cifi\u00e9.<\/p>\n
Sc\u00e9narios d’application pratique<\/h2>\n
La fonction FACT trouve son utilit\u00e9 dans diverses situations. Examinons deux sc\u00e9narios o\u00f9 elle est particuli\u00e8rement pertinente :<\/p>\n
    \n
  • Calcul du nombre total de fa\u00e7ons d’agencer des objets<\/li>\n
  • \u00c9laboration de probabilit\u00e9s dans les sc\u00e9narios de permutation<\/li>\n<\/ul>\n
    Sc\u00e9nario 1 : Organisation d’objets<\/h2>\n
    Imaginez que vous disposez de 4 livres diff\u00e9rents et que vous souhaitez conna\u00eetre le nombre de mani\u00e8res possibles de les ranger sur une \u00e9tag\u00e8re. Utiliser la factorielle du nombre total d’objets (ici, des livres) donne la solution \u00e0 ce probl\u00e8me.<\/p>\n
     =FACT(4)<\/code> <\/pre>\n
    Le r\u00e9sultat obtenu, 24<\/strong>, indique qu’il existe 24 fa\u00e7ons diff\u00e9rentes d’organiser ces livres sur l’\u00e9tag\u00e8re.<\/p>\n
    Sc\u00e9nario 2 : Analyse de probabilit\u00e9s<\/h2>\n
    Consid\u00e9rons un cas o\u00f9 un(e) instructeur(trice) de danse souhaite d\u00e9terminer le nombre de routines diff\u00e9rentes possibles avec 5 danseurs, chaque danseur devant occuper une position sp\u00e9cifique. La factorielle est \u00e0 nouveau la fonction id\u00e9ale pour r\u00e9soudre cette \u00e9nigme.<\/p>\n
     =FACT(5)<\/code> <\/pre>\n
    Le r\u00e9sultat, 120<\/strong>, montre les diff\u00e9rentes configurations possibles pour les positions des danseurs.<\/p>\n
    Commentaires suppl\u00e9mentaires<\/h2>\n
    Il est crucial de noter que la fonction FACT est principalement utilis\u00e9e pour les calculs de permutations et ne s’applique qu’aux nombres entiers non n\u00e9gatifs. L’utilisation de nombres d\u00e9cimaux ou n\u00e9gatifs entra\u00eenera une erreur dans la formule.<\/p>\n","protected":false},"excerpt":{"rendered":"
    Renvoie la factoRielle d\u2019un nombRe<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[310],"tags":[],"class_list":["post-6532","post","type-post","status-publish","format-standard","hentry","category-mathematiques-et-trigonometrie"],"acf":[],"yoast_head":"\nFonction FACT dans Excel : comment \u00e7a marche, exemples et syntaxe<\/title>\n<meta name=\"description\" content=\"Pr\u00e9sentation de la fonction FACT d\u2019Excel et Google Sheets. 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