Solve 25!/4!*23!

$$\frac { 25 ! } { 4 ! \cdot 23 ! }$$

Evaluate

$$25$$

Solution Steps

The factorial of 25 is 15511210043330985984000000.

$$\frac{15511210043330985984000000}{4!\times 23!}$$

The factorial of 4 is 24.

$$\frac{15511210043330985984000000}{24\times 23!}$$

The factorial of 23 is 25852016738884976640000.

$$\frac{15511210043330985984000000}{24\times 25852016738884976640000}$$

Multiply 24 and 25852016738884976640000 to get 620448401733239439360000.

$$\frac{15511210043330985984000000}{620448401733239439360000}$$

Divide 15511210043330985984000000 by 620448401733239439360000 to get 25.

$$25$$

Factor

$$5^{2}$$