Question

O valor da soma na exprrssao combinatoria C5,3 + C4,2 e?

Answer 1

Explicação passo-a-passo:

C5,3 =

$\frac{5(fatorial)}{3(fatorial) \times (5 - 3)fatorial} \\ \frac{5 \times 4 \times 3 \times 2 \times 1}{3 \times 2 \times 1 \times 2 \times 1} \\ \frac{5 \times 4}{2 \times 1} \\ \frac{20}{2} = 10$

C4,2 =

$\frac{4(fatorial)}{2(fatorial) \times (4 - 2)fatorial} \\ \frac{4 \times 3 \times 2 \times 1}{2 \times 1 \times 2 \times 1} \\ \frac{4 \times 3}{2 \times 1} \\ \frac{12}{2} = 6$

Logo, C5,3 +C4,2 = 10 + 6 = 16