Question

calcule o número binomial, faça os cálculos pf. AJUDAAAAAAAA​

Answer 1

Resposta:

(n+4)(n+3)(n+2)/6

Explicação passo a passo:

((n+4)/(n+1)) =

(n+4)!/{(n+1)![n+4-(n+1)]!}=

(n+4)!/{(n+1)![n+4-n-1]!}=

(n+4)!/{(n+1)![3]!}=

(n+4)(n+3)(n+2)(n+1)!/3!(n+1)!=

(n+4)(n+3)(n+2)/3!=

(n+4)(n+3)(n+2)/3.2.1=

(n+4)(n+3)(n+2)/6

Answer 2

Resposta:

$\frac{(n+4)(n+3)(n+2)}{6}$

Explicação passo a passo:

$\left(\begin{array}{ccc}n+4\\n+1\end{array}\right)=C[(n+4),(n+1)] =\frac{(n+4)!}{(n+1)![n+4-(n+1)]!} =\frac{(n+4)!}{(n+1)!(n+4-n-1)!}=\frac{(n+4)!}{(n+1)!.3!} =\frac{(n+4)(n+3)(n+2)(n+1)!}{(n+1)!.6} =\frac{(n+4)(n+3)(n+2)}{6}$