Question

ME AJUDEM!!!

calcule:
C20,17 + C24,19 ​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{C_{n,p} = \dfrac{n!}{p!.(n - p)!}}$

$\mathsf{C_{20,17} + C_{24,19} = \dfrac{20!}{17!.(20 - 17)!} + \dfrac{24!}{19!.(24 - 19)!}}$

$\mathsf{C_{20,17} + C_{24,19} = \dfrac{20.19.18.17!}{17!.3!} + \dfrac{24.23.22.21.20.19!}{19!.5!}}$

$\mathsf{C_{20,17} + C_{24,19} = \dfrac{20.19.18}{3!} + \dfrac{24.23.22.21.20}{5!}}$

$\mathsf{C_{20,17} + C_{24,19} = \dfrac{6.840}{6} + \dfrac{5.100.480}{120}}$

$\mathsf{C_{20,17} + C_{24,19} = 1.140 + 42.504}$

$\boxed{\boxed{\mathsf{C_{20,17} + C_{24,19} = 43.644}}}$