Solve 4!8!/2!7!

$$\frac { 4 ! 8 ! } { 2 ! 7 ! }$$

Evaluate

$$96$$

Solution Steps

The factorial of 4 is 24.

$$\frac{24\times 8!}{2!\times 7!}$$

The factorial of 8 is 40320.

$$\frac{24\times 40320}{2!\times 7!}$$

Multiply 24 and 40320 to get 967680.

$$\frac{967680}{2!\times 7!}$$

The factorial of 2 is 2.

$$\frac{967680}{2\times 7!}$$

The factorial of 7 is 5040.

$$\frac{967680}{2\times 5040}$$

Multiply 2 and 5040 to get 10080.

$$\frac{967680}{10080}$$

Divide 967680 by 10080 to get 96.

$$96$$

Factor

$$2^{5}\times 3$$