Solve 18!div(12!6!)

$$18 ! \div (12 ! 6 ! )$$

Evaluate

$$18564$$

Solution Steps

The factorial of 18 is 6402373705728000.

$$\frac{6402373705728000}{12!\times 6!}$$

The factorial of 12 is 479001600.

$$\frac{6402373705728000}{479001600\times 6!}$$

The factorial of 6 is 720.

$$\frac{6402373705728000}{479001600\times 720}$$

Multiply 479001600 and 720 to get 344881152000.

$$\frac{6402373705728000}{344881152000}$$

Divide 6402373705728000 by 344881152000 to get 18564.

$$18564$$

Factor

$$2^{2}\times 3\times 7\times 13\times 17$$