Question

f) C8,4 . C10,6 respondam​

Answer 1

Olá, boa noite!

$C_{6,2}\cdot C_{10,6}=\\\\\dfrac{6!}{2!(6-2)!}\cdot\dfrac{10!}{6!(10-6)!}=\\\\\dfrac{6!}{2!\cdot4!}\cdot\dfrac{10!}{6!\cdot4!}=\\\\\dfrac{6\cdot5\cdot4!}{2!\cdot4!}\cdot\dfrac{10\cdot9\cdot8\cdot7\cdot6!}{6!\cdot4!}=\\\\\dfrac{6\cdot5}{2\cdot1}\cdot\dfrac{10\cdot9\cdot8\cdot7}{4\cdot3\cdot2\cdot1}=\\\\\dfrac{30}{2}\cdot\dfrac{5040}{24}=\\\\15\cdot210=\\\\\boxed{3150}$

Espero ter ajudado.

Bons estudos! :)