Solve 10!4!/5!8!

$$\frac { 10 ! 4 ! } { 5 ! 8 ! }$$

Evaluate

$$18$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800\times 4!}{5!\times 8!}$$

The factorial of 4 is 24.

$$\frac{3628800\times 24}{5!\times 8!}$$

Multiply 3628800 and 24 to get 87091200.

$$\frac{87091200}{5!\times 8!}$$

The factorial of 5 is 120.

$$\frac{87091200}{120\times 8!}$$

The factorial of 8 is 40320.

$$\frac{87091200}{120\times 40320}$$

Multiply 120 and 40320 to get 4838400.

$$\frac{87091200}{4838400}$$

Divide 87091200 by 4838400 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$