Solve 2!5!div6!3!

$$2 ! 5 ! \div 6 ! 3 !$$

Evaluate

$$2$$

Solution Steps

The factorial of 2 is 2.

$$\frac{2\times 5!}{6!}\times 3!$$

The factorial of 5 is 120.

$$\frac{2\times 120}{6!}\times 3!$$

Multiply 2 and 120 to get 240.

$$\frac{240}{6!}\times 3!$$

The factorial of 6 is 720.

$$\frac{240}{720}\times 3!$$

Reduce the fraction \frac{240}{720} to lowest terms by extracting and canceling out 240.

$$\frac{1}{3}\times 3!$$

The factorial of 3 is 6.

$$\frac{1}{3}\times 6$$

Multiply \frac{1}{3} and 6 to get \frac{6}{3}.

$$\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$2$$

Factor

$$2$$