Solve 6!5!/8!3!

$$\frac { 6 ! 5 ! } { 8 ! 3 ! }$$

Evaluate

$$\frac{5}{14}\approx 0.357142857$$

Solution Steps

The factorial of 6 is 720.

$$\frac{720\times 5!}{8!\times 3!}$$

The factorial of 5 is 120.

$$\frac{720\times 120}{8!\times 3!}$$

Multiply 720 and 120 to get 86400.

$$\frac{86400}{8!\times 3!}$$

The factorial of 8 is 40320.

$$\frac{86400}{40320\times 3!}$$

The factorial of 3 is 6.

$$\frac{86400}{40320\times 6}$$

Multiply 40320 and 6 to get 241920.

$$\frac{86400}{241920}$$

Reduce the fraction \frac{86400}{241920} to lowest terms by extracting and canceling out 17280.

$$\frac{5}{14}$$

Factor

$$\frac{5}{2 \cdot 7} = 0.35714285714285715$$