Question

calcule o valor de n!/p!(n-p)! para n=20 e p=17​

Answer 1

O valor da espressão é 1.140.

Explicação passo-a-passo:

$x=\frac{n!}{p!\;.\;(n-p)!}\\\\x=\frac{20!}{17!\;.\;(20-17)!}\\\\x=\frac{20!}{17!\;.\;3!}\\\\x=\frac{20\;.\;19\;.\;18\;.\;17!}{17!\;.\;3!}\\\\x=\frac{20\;.\;19\;.\;18}{3!}\\\\x=\frac{20\;.\;19\;.\;18}{3\;.\;2\;.\;1}\\\\x=\frac{20\;.\;19\;.\;18}{6}\\\\x=20\;.\;19\;.\;3\\\\x=1.140$