Solve 4!/2!(4*2)!

$$\frac { 4 ! } { 2 ! ( 4 \cdot 2 ) ! }$$

Evaluate

$$\frac{1}{3360}\approx 0.000297619$$

Solution Steps

The factorial of 4 is 24.

$$\frac{24}{2!\times \left(4\times 2\right)!}$$

The factorial of 2 is 2.

$$\frac{24}{2\times \left(4\times 2\right)!}$$

Multiply 4 and 2 to get 8.

$$\frac{24}{2\times 8!}$$

The factorial of 8 is 40320.

$$\frac{24}{2\times 40320}$$

Multiply 2 and 40320 to get 80640.

$$\frac{24}{80640}$$

Reduce the fraction \frac{24}{80640} to lowest terms by extracting and canceling out 24.

$$\frac{1}{3360}$$

Factor

$$\frac{1}{2 ^ {5} \cdot 3 \cdot 5 \cdot 7} = 0.00029761904761904765$$