Solve 10*9!/6!-9!/6!

$$\frac { 10 \times 9 ! } { 6 ! } - \frac { 9 ! } { 6 ! }$$

Evaluate

$$4536$$

Solution Steps

The factorial of 9 is 362880.

$$\frac{10\times 362880}{6!}-\frac{9!}{6!}$$

Multiply 10 and 362880 to get 3628800.

$$\frac{3628800}{6!}-\frac{9!}{6!}$$

The factorial of 6 is 720.

$$\frac{3628800}{720}-\frac{9!}{6!}$$

Divide 3628800 by 720 to get 5040.

$$5040-\frac{9!}{6!}$$

The factorial of 9 is 362880.

$$5040-\frac{362880}{6!}$$

The factorial of 6 is 720.

$$5040-\frac{362880}{720}$$

Divide 362880 by 720 to get 504.

$$5040-504$$

Subtract 504 from 5040 to get 4536.

$$4536$$

Factor

$$2^{3}\times 3^{4}\times 7$$