Question

calcule A5,3 C6,3 quero saber a resposta desse cálculo

Answer 1

$A^5_3 = \dfrac{5!}{3!(5-3)!} \\ \\ \\ A^5_3 = \dfrac{5* 4 * \not 3!!}{\not 3!*2!} \\ \\ \\ A^5_3 = \dfrac{5* 4}{2 *1} \\ \\ \\ A^5_3 = \dfrac{20}{2} \\ \\ \\ =\ \textgreater \ 10$

===

$C^6_3 = \dfrac{6!}{3!(6-3)!} \\ \\ \\ C^6_3 = \dfrac{6*5* 4 * \not 3!!}{\not 3!*3!} \\ \\ \\ C^5_3 = \dfrac{6 * 5* 4}{3 * 2 *1} \\ \\ \\ C^5_3 = \dfrac{120}{6} \\ \\ \\ =\ \textgreater \ 20$

Answer 2

A5,3 = 5!/(5-3)! = 120/2 = 60

C6,3 = 6!/3!(6-3)! = 6.5.4.3!/3!.2
= 60