Solve 13!/6!(13-6)!

$$\frac { 13 ! } { 6 ! ( 13 - 6 ) ! }$$

Evaluate

$$1716$$

Solution Steps

The factorial of 13 is 6227020800.

$$\frac{6227020800}{6!\left(13-6\right)!}$$

The factorial of 6 is 720.

$$\frac{6227020800}{720\left(13-6\right)!}$$

Subtract 6 from 13 to get 7.

$$\frac{6227020800}{720\times 7!}$$

The factorial of 7 is 5040.

$$\frac{6227020800}{720\times 5040}$$

Multiply 720 and 5040 to get 3628800.

$$\frac{6227020800}{3628800}$$

Divide 6227020800 by 3628800 to get 1716.

$$1716$$

Factor

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