Question

calcule por favor rrrrrrrrrr​

Answer 1

Resposta:

A) 4060

B) 560

C) 6

Explicação passo-a-passo:

$Cn,k = \frac{n!}{(n - k)! K!}$

A

$C30,3 = \frac{30!}{(30 - 3)! 3!} \\ \\ C30,3 = \frac{30 \times 29 \times 28 \times 27!}{27! 3!} \\ \\ C30,3 = \frac{30 \times 29 \times 28}{ 3 \times 2 \times 1} \\ \\ C30,3 = \frac{24360}{ 6} \\ \\ C30,3 = 4060$

B

$C16,3 = \frac{16!}{(16 - 3)! 3!} \\ \\ C16,3 = \frac{16 \times 15 \times 14 \times 13!}{13! 3!} \\ \\ C16,3 = \frac{16 \times 15 \times 14 }{ 3 \times 2 \times 1} \\ \\ C16,3 = \frac{3.360 }{ 6} \\ \\ C16,3 = 560$

C

$C4,2 = \frac{4!}{(4 - 2)! 2!} \\ \\ C4,2 = \frac{4 \times 3 \times 2!}{2! 2!} \\ \\ C4,2 = \frac{4 \times 3}{ 2 \times 1} \\ \\ C4,2 = \frac{12}{2} \\ \\ C4,2 =6$