Question

Calcule o valor da expressão 5. 13!/3!10! + 13. 5!/3!2!

Answer 1

$\dfrac{13!}{3!10!} +13\times \dfrac{5!}{3!2!} \to~~~~ \dfrac{13.12.11.10!}{3!10!} + 13 \times \dfrac{5.4.3.2!}{3!2!} \to~~~~ \\\\\\ \dfrac{13.12.11}{3.2} +13\times \dfrac{5.4.3}{3.2} \to~~~~ \dfrac{1716}{6} +13\times \dfrac{60}{6} \to\\\\\\ 286+13\times10\to ~~~~286+130\to~~~~ \boxed{\boxed{ 416}}$