Solve 32!/(32-4)!4!

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

Evaluate

$$35960$$

Solution Steps

The factorial of 32 is 263130836933693530167218012160000000.

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

Subtract 4 from 32 to get 28.

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

The factorial of 28 is 304888344611713860501504000000.

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

The factorial of 4 is 24.

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

Multiply 304888344611713860501504000000 and 24 to get 7317320270681132652036096000000.

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

Divide 263130836933693530167218012160000000 by 7317320270681132652036096000000 to get 35960.

$$35960$$

Factor

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