Solve =15!/12!(15-12)!

$$= \frac { 15 ! } { 12 ! ( 15 - 12 ) ! }$$

Evaluate

$$455$$

Solution Steps

The factorial of 15 is 1307674368000.

$$\frac{1307674368000}{12!\left(15-12\right)!}$$

The factorial of 12 is 479001600.

$$\frac{1307674368000}{479001600\left(15-12\right)!}$$

Subtract 12 from 15 to get 3.

$$\frac{1307674368000}{479001600\times 3!}$$

The factorial of 3 is 6.

$$\frac{1307674368000}{479001600\times 6}$$

Multiply 479001600 and 6 to get 2874009600.

$$\frac{1307674368000}{2874009600}$$

Divide 1307674368000 by 2874009600 to get 455.

$$455$$

Factor

$$5\times 7\times 13$$