Solve 9!/3!6!+9!/3!7!

$$\frac { 9 ! } { 3 ! 6 ! } + \frac { 9 ! } { 3 ! 7 ! }$$

Evaluate

$$96$$

Solution Steps

The factorial of 9 is 362880.

$$\frac{362880}{3!\times 6!}+\frac{9!}{3!\times 7!}$$

The factorial of 3 is 6.

$$\frac{362880}{6\times 6!}+\frac{9!}{3!\times 7!}$$

The factorial of 6 is 720.

$$\frac{362880}{6\times 720}+\frac{9!}{3!\times 7!}$$

Multiply 6 and 720 to get 4320.

$$\frac{362880}{4320}+\frac{9!}{3!\times 7!}$$

Divide 362880 by 4320 to get 84.

$$84+\frac{9!}{3!\times 7!}$$

The factorial of 9 is 362880.

$$84+\frac{362880}{3!\times 7!}$$

The factorial of 3 is 6.

$$84+\frac{362880}{6\times 7!}$$

The factorial of 7 is 5040.

$$84+\frac{362880}{6\times 5040}$$

Multiply 6 and 5040 to get 30240.

$$84+\frac{362880}{30240}$$

Divide 362880 by 30240 to get 12.

$$84+12$$

Add 84 and 12 to get 96.

$$96$$

Factor

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