Resolver 32!/(32-4)!4!

$$\frac{ 32 ! }{ (32-4) ! 4 ! }$$

Avaliar

$$35960$$

Passos Para a Resolução

O fatorial de 32 é 263130836933693530167218012160000000.

$$\frac{263130836933693530167218012160000000}{\left(32-4\right)!\times 4!}$$

Subtraia 4 de 32 para obter 28.

$$\frac{263130836933693530167218012160000000}{28!\times 4!}$$

O fatorial de 28 é 304888344611713860501504000000.

$$\frac{263130836933693530167218012160000000}{304888344611713860501504000000\times 4!}$$

O fatorial de 4 é 24.

$$\frac{263130836933693530167218012160000000}{304888344611713860501504000000\times 24}$$

Multiplique 304888344611713860501504000000 e 24 para obter 7317320270681132652036096000000.

$$\frac{263130836933693530167218012160000000}{7317320270681132652036096000000}$$

Dividir 263130836933693530167218012160000000 por 7317320270681132652036096000000 para obter 35960.

$$35960$$

Fatorizar

$$2^{3}\times 5\times 29\times 31$$