Solve 8!3!/6!4!

$$\frac { 8 ! 3 ! } { 6 ! 4 ! }$$

Evaluate

$$14$$

Solution Steps

The factorial of 8 is 40320.

$$\frac{40320\times 3!}{6!\times 4!}$$

The factorial of 3 is 6.

$$\frac{40320\times 6}{6!\times 4!}$$

Multiply 40320 and 6 to get 241920.

$$\frac{241920}{6!\times 4!}$$

The factorial of 6 is 720.

$$\frac{241920}{720\times 4!}$$

The factorial of 4 is 24.

$$\frac{241920}{720\times 24}$$

Multiply 720 and 24 to get 17280.

$$\frac{241920}{17280}$$

Divide 241920 by 17280 to get 14.

$$14$$

Factor

$$2\times 7$$