Solve 5!3!/4!6!

$$\frac { 5 ! 3 ! } { 4 ! 6 ! }$$

Evaluate

$$\frac{1}{24}\approx 0.041666667$$

Solution Steps

The factorial of 5 is 120.

$$\frac{120\times 3!}{4!\times 6!}$$

The factorial of 3 is 6.

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

Multiply 120 and 6 to get 720.

$$\frac{720}{4!\times 6!}$$

The factorial of 4 is 24.

$$\frac{720}{24\times 6!}$$

The factorial of 6 is 720.

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

Multiply 24 and 720 to get 17280.

$$\frac{720}{17280}$$

Reduce the fraction \frac{720}{17280} to lowest terms by extracting and canceling out 720.

$$\frac{1}{24}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3} = 0.041666666666666664$$