Question

o valor de C5,3 e igual a

Answer 1

$C_{5,3} = \dfrac{5!}{(5-3)! \cdot 3!} = \dfrac{5!}{2! \cdot 3!} = \dfrac{5 \cdot 4 \cdot 3!}{2 \cdot 3!} = \dfrac{20}{2} = \boxed{10}$

Answer 2

$C_{5,3}=\dfrac{5!}{3!(5! - 3)!}} \\ \\ \\ C_{5,3}=\dfrac{5\cdot4\cdot \not 3!}{\not3!\cdot2!} \\ \\ \\ C_{5,3}=\dfrac{20}{2} = 10$