Solve 11!/2!*3!*2!

$$\frac{ 11 ! }{ 2 ! \times 3 ! \times 2 ! }$$

Evaluate

$$1663200$$

Solution Steps

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

$$\frac{11!}{\left(2!\right)^{2}\times 3!}$$

The factorial of 11 is 39916800.

$$\frac{39916800}{\left(2!\right)^{2}\times 3!}$$

The factorial of 2 is 2.

$$\frac{39916800}{2^{2}\times 3!}$$

Calculate 2 to the power of 2 and get 4.

$$\frac{39916800}{4\times 3!}$$

The factorial of 3 is 6.

$$\frac{39916800}{4\times 6}$$

Multiply 4 and 6 to get 24.

$$\frac{39916800}{24}$$

Divide 39916800 by 24 to get 1663200.

$$1663200$$

Factor

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