Question

1. evaluate \\(\frac{8!}{5!}\\)

options: 120, 6720, 336, 40320

Explanation:

Step1: Definir factorial

El factorial $n! = n\times(n-1)\times\cdots\times1$

Step2: Simplificar la fracción

$\frac{8!}{5!} = \frac{8\times7\times6\times5!}{5!}$

Step3: Cancelar términos iguales

$\frac{8\times7\times6\times\cancel{5!}}{\cancel{5!}} = 8\times7\times6$

Step4: Calcular el producto

$8\times7\times6 = 336$

Answer:

336