Solve 13!/(13-5)!5!

$$\frac { 13 ! } { ( 13 - 5 ) ! 5 ! }$$

Evaluate

$$1287$$

Solution Steps

The factorial of 13 is 6227020800.

$$\frac{6227020800}{\left(13-5\right)!\times 5!}$$

Subtract 5 from 13 to get 8.

$$\frac{6227020800}{8!\times 5!}$$

The factorial of 8 is 40320.

$$\frac{6227020800}{40320\times 5!}$$

The factorial of 5 is 120.

$$\frac{6227020800}{40320\times 120}$$

Multiply 40320 and 120 to get 4838400.

$$\frac{6227020800}{4838400}$$

Divide 6227020800 by 4838400 to get 1287.

$$1287$$

Factor

$$3^{2}\times 11\times 13$$