Solve (30)!/(30-3)!3!

$$\frac { ( 30 ) ! } { ( 30 - 3 ) ! 3 ! }$$

Evaluate

$$4060$$

Solution Steps

The factorial of 30 is 265252859812191058636308480000000.

$$\frac{265252859812191058636308480000000}{\left(30-3\right)!\times 3!}$$

Subtract 3 from 30 to get 27.

$$\frac{265252859812191058636308480000000}{27!\times 3!}$$

The factorial of 27 is 10888869450418352160768000000.

$$\frac{265252859812191058636308480000000}{10888869450418352160768000000\times 3!}$$

The factorial of 3 is 6.

$$\frac{265252859812191058636308480000000}{10888869450418352160768000000\times 6}$$

Multiply 10888869450418352160768000000 and 6 to get 65333216702510112964608000000.

$$\frac{265252859812191058636308480000000}{65333216702510112964608000000}$$

Divide 265252859812191058636308480000000 by 65333216702510112964608000000 to get 4060.

$$4060$$

Factor

$$2^{2}\times 5\times 7\times 29$$