Solve 10!/((10-2)!2!)

$$\frac { 10 ! } { ( ( 10 - 2 ) ! 2 ! ) }$$

Evaluate

$$45$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800}{\left(10-2\right)!\times 2!}$$

Subtract 2 from 10 to get 8.

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

The factorial of 8 is 40320.

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

The factorial of 2 is 2.

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

Multiply 40320 and 2 to get 80640.

$$\frac{3628800}{80640}$$

Divide 3628800 by 80640 to get 45.

$$45$$

Factor

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