Question

Calcule C10,3/C5,3
Resposta com contas pfv

Answer 1

Cn,p = n! / p!(n-p)!

C10,3/C5,3 = [10!/3!(10-3)! / 5! / 3!(5-3)!]

C10,3/C5,3 = [(10!/3!*7!) / (5! / 3!*2!)]

C10,3/C5,3 = (10!*3!*2!) / (3!*7!*5!)

C10,3/C5,3 = (10!*2!) / (7!*5!)

C10,3/C5,3 = (10*9*8*7!*2!) / (7!*5!)

C10,3/C5,3 = (10*9*8*2) / (5!)

C10,3/C5,3 = 1440/120

C10,3/C5,3 = 12