Solve 16!/(16-5)!5!

$$\frac{ 16 ! }{ (16-5) ! 5 ! }$$

Evaluate

$$4368$$

Solution Steps

The factorial of 16 is 20922789888000.

$$\frac{20922789888000}{\left(16-5\right)!\times 5!}$$

Subtract 5 from 16 to get 11.

$$\frac{20922789888000}{11!\times 5!}$$

The factorial of 11 is 39916800.

$$\frac{20922789888000}{39916800\times 5!}$$

The factorial of 5 is 120.

$$\frac{20922789888000}{39916800\times 120}$$

Multiply 39916800 and 120 to get 4790016000.

$$\frac{20922789888000}{4790016000}$$

Divide 20922789888000 by 4790016000 to get 4368.

$$4368$$

Factor

$$2^{4}\times 3\times 7\times 13$$