Solve 4!/3!*10!/8!2!

$$\frac { 4 ! } { 3 ! } \cdot \frac { 10 ! } { 8 ! 2 ! }$$

Evaluate

$$180$$

Solution Steps

The factorial of 4 is 24.

$$\frac{24}{3!}\times \frac{10!}{8!\times 2!}$$

The factorial of 3 is 6.

$$\frac{24}{6}\times \frac{10!}{8!\times 2!}$$

Divide 24 by 6 to get 4.

$$4\times \frac{10!}{8!\times 2!}$$

The factorial of 10 is 3628800.

$$4\times \frac{3628800}{8!\times 2!}$$

The factorial of 8 is 40320.

$$4\times \frac{3628800}{40320\times 2!}$$

The factorial of 2 is 2.

$$4\times \frac{3628800}{40320\times 2}$$

Multiply 40320 and 2 to get 80640.

$$4\times \frac{3628800}{80640}$$

Divide 3628800 by 80640 to get 45.

$$4\times 45$$

Multiply 4 and 45 to get 180.

$$180$$

Factor

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