Solve =23!/21!(23-21)!

$$= \frac { 23 ! } { 21 ! ( 23 - 21 ) ! }$$

Evaluate

$$253$$

Solution Steps

The factorial of 23 is 25852016738884976640000.

$$\frac{25852016738884976640000}{21!\left(23-21\right)!}$$

The factorial of 21 is 51090942171709440000.

$$\frac{25852016738884976640000}{51090942171709440000\left(23-21\right)!}$$

Subtract 21 from 23 to get 2.

$$\frac{25852016738884976640000}{51090942171709440000\times 2!}$$

The factorial of 2 is 2.

$$\frac{25852016738884976640000}{51090942171709440000\times 2}$$

Multiply 51090942171709440000 and 2 to get 102181884343418880000.

$$\frac{25852016738884976640000}{102181884343418880000}$$

Divide 25852016738884976640000 by 102181884343418880000 to get 253.

$$253$$

Factor

$$11\times 23$$