Solve 11!/4!4!2!

$$\frac{ 11 ! }{ 4 ! 4 ! 2 ! }$$

Evaluate

$$34650$$

Solution Steps

Multiply 4! and 4! to get \left(4!\right)^{2}.

$$\frac{11!}{\left(4!\right)^{2}\times 2!}$$

The factorial of 11 is 39916800.

$$\frac{39916800}{\left(4!\right)^{2}\times 2!}$$

The factorial of 4 is 24.

$$\frac{39916800}{24^{2}\times 2!}$$

Calculate 24 to the power of 2 and get 576.

$$\frac{39916800}{576\times 2!}$$

The factorial of 2 is 2.

$$\frac{39916800}{576\times 2}$$

Multiply 576 and 2 to get 1152.

$$\frac{39916800}{1152}$$

Divide 39916800 by 1152 to get 34650.

$$34650$$

Factor

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