Question

Calcule o valor de C10,3 + C8,2

Answer 1

C(10,3) + C(8,2) = [10!/3!(10-3)!] + [8!/2!(8-2)!]

C(10,3) + C(8,2) = (10!/3!7!) + (8!/2!6!)

C(10,3) + C(8,2) = (10.9.8.7!/3!7!) + (8.7.6!/2!6!)

C(10,3) + C(8,2) = (10.9.8/3!) + (8.7/2!)

C(10,3) + C(8,2) = (720/6) + (56/2)

C(10,3) + C(8,2) = 120 + 28

C(10,3) + C(8,2) = 148 <--- resposta pedida


Espero ter ajudado