Solve 2!5!/4!6!

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

Evaluate

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

Solution Steps

The factorial of 2 is 2.

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

The factorial of 5 is 120.

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

Multiply 2 and 120 to get 240.

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

The factorial of 4 is 24.

$$\frac{240}{24\times 6!}$$

The factorial of 6 is 720.

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

Multiply 24 and 720 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

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