Solve 5!2!/6!4!

$$\frac { 5 ! 2 ! } { 6 ! 4 ! }$$

Evaluate

$$\frac{1}{72}\approx 0.013888889$$

Solution Steps

The factorial of 5 is 120.

$$\frac{120\times 2!}{6!\times 4!}$$

The factorial of 2 is 2.

$$\frac{120\times 2}{6!\times 4!}$$

Multiply 120 and 2 to get 240.

$$\frac{240}{6!\times 4!}$$

The factorial of 6 is 720.

$$\frac{240}{720\times 4!}$$

The factorial of 4 is 24.

$$\frac{240}{720\times 24}$$

Multiply 720 and 24 to get 17280.

$$\frac{240}{17280}$$

Reduce the fraction \frac{240}{17280} to lowest terms by extracting and canceling out 240.

$$\frac{1}{72}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3 ^ {2}} = 0.013888888888888888$$