Solve 7!5!/6!3!

$$\frac { 7 ! 5 ! } { 6 ! 3 ! }$$

Evaluate

$$140$$

Solution Steps

The factorial of 7 is 5040.

$$\frac{5040\times 5!}{6!\times 3!}$$

The factorial of 5 is 120.

$$\frac{5040\times 120}{6!\times 3!}$$

Multiply 5040 and 120 to get 604800.

$$\frac{604800}{6!\times 3!}$$

The factorial of 6 is 720.

$$\frac{604800}{720\times 3!}$$

The factorial of 3 is 6.

$$\frac{604800}{720\times 6}$$

Multiply 720 and 6 to get 4320.

$$\frac{604800}{4320}$$

Divide 604800 by 4320 to get 140.

$$140$$

Factor

$$2^{2}\times 5\times 7$$