Solve 12!/(2!)(2!)(2!)

$$\frac{ 12 ! }{ (2 ! )(2 ! )(2 ! ) }$$

Evaluate

$$59875200$$

Solution Steps

Multiply 2! and 2! to get \left(2!\right)^{2}.

$$\frac{12!}{\left(2!\right)^{2}\times 2!}$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{12!}{\left(2!\right)^{3}}$$

The factorial of 12 is 479001600.

$$\frac{479001600}{\left(2!\right)^{3}}$$

The factorial of 2 is 2.

$$\frac{479001600}{2^{3}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{479001600}{8}$$

Divide 479001600 by 8 to get 59875200.

$$59875200$$

Factor

$$2^{7}\times 3^{5}\times 5^{2}\times 7\times 11$$