Solve 20!/7!*3!

$$\frac { 20 ! } { 7 ! \cdot 3 ! }$$

Evaluate

$$80453108736000$$

Solution Steps

The factorial of 20 is 2432902008176640000.

$$\frac{2432902008176640000}{7!\times 3!}$$

The factorial of 7 is 5040.

$$\frac{2432902008176640000}{5040\times 3!}$$

The factorial of 3 is 6.

$$\frac{2432902008176640000}{5040\times 6}$$

Multiply 5040 and 6 to get 30240.

$$\frac{2432902008176640000}{30240}$$

Divide 2432902008176640000 by 30240 to get 80453108736000.

$$80453108736000$$

Factor

$$2^{13}\times 3^{5}\times 5^{3}\times 7\times 11\times 13\times 17\times 19$$