Solve 3!/2!*6!/2!*2!

$$\frac { 3 ! } { 2 ! } \times \frac { 6 ! } { 2 ! } \times 2 !$$

Evaluate

$$2160$$

Solution Steps

The factorial of 3 is 6.

$$\frac{6}{2!}\times \frac{6!}{2!}\times 2!$$

The factorial of 2 is 2.

$$\frac{6}{2}\times \frac{6!}{2!}\times 2!$$

Divide 6 by 2 to get 3.

$$3\times \frac{6!}{2!}\times 2!$$

The factorial of 6 is 720.

$$3\times \frac{720}{2!}\times 2!$$

The factorial of 2 is 2.

$$3\times \frac{720}{2}\times 2!$$

Divide 720 by 2 to get 360.

$$3\times 360\times 2!$$

Multiply 3 and 360 to get 1080.

$$1080\times 2!$$

The factorial of 2 is 2.

$$1080\times 2$$

Multiply 1080 and 2 to get 2160.

$$2160$$

Factor

$$2^{4}\times 3^{3}\times 5$$