Question

De quantas maneiras diferentes 6 pessoas podem se sentar em 10 cadeiras?

Answer 1

Arranjo Simples : 

$\mathtt{A_{n,p}~~=~~ \dfrac{n!}{(n-p)!} } \\ \\ \\ \mathtt{A_{10,6}~~=~~\dfrac{10!}{(10-6)!}~~=~~\dfrac{10!}{4!}~~=~~\dfrac{10~.~9~.~8~.~7~.~6~.~5~.~4!}{4!}} \\ \\ \\ \mathtt{A_{10,6}~~=~~~10~.~9~.~8~.~7~.~6~.~5} \\ \\ \mathtt{A_{10,6}}~~=~~151.200}}$

Answer 2

Arranjos simples
A10,6=10!/10-6
A10,6=10!/4
A 10,6=10.9.8.7.6.5=151200 MANEIRAS DIFERENTES