Question

De quantas maneiras 7meninos podem sentar se no banco que tem apenas 4lugares

Answer 1

Arranjo Simples : $\mathtt{A~_n_,_p = \dfrac{n!}{(n-p)!}}$


$\mathtt{A~_7_,_4 = \dfrac{7!}{(7-4)!}} \\ \\ \\ \mathtt{A~_7_,_4 = \dfrac{5.040}{3!}} \\ \\ \\ \mathtt{A~_7_,_4 = \dfrac{5.040}{6}} \\ \\ \\ \mathtt{A~_7_,_4 =840 } \\ \\ \\ \boxed{\boxed{\mathtt{Resposta: 840}}}$