Solve 15!/(15-4)!4!

$$\frac { 15 ! } { ( 15 - 4 ) ! 4 ! }$$

Evaluate

$$1365$$

Solution Steps

The factorial of 15 is 1307674368000.

$$\frac{1307674368000}{\left(15-4\right)!\times 4!}$$

Subtract 4 from 15 to get 11.

$$\frac{1307674368000}{11!\times 4!}$$

The factorial of 11 is 39916800.

$$\frac{1307674368000}{39916800\times 4!}$$

The factorial of 4 is 24.

$$\frac{1307674368000}{39916800\times 24}$$

Multiply 39916800 and 24 to get 958003200.

$$\frac{1307674368000}{958003200}$$

Divide 1307674368000 by 958003200 to get 1365.

$$1365$$

Factor

$$3\times 5\times 7\times 13$$