Question

01 – Calcule o valor de cada combinação.
a) C6,2
b) C5,4
c) C8,4
d) C15,3

Answer 1

Fórmula: Cn,k = n!/k!(n-k)!

a) 6!/2!.(6-2)! = 6.5.4!/2!.4! = 6.5.2! = 30/2 = 15

b) 5!/4!.(5-4)! = 5.4!/4!.1 = 5/1 = 5

c) 8!/4!(8-4)! = 8.7.6.5.4!/4!.4! = 8.7.6.5/4 = 1680/24 = 70

d) 15!/3!(15-3)! = 15.14.13.12!/3!.12! = 15.14.13/3! = 2730/6 = 455