Solve 6!*1/3!*1/2!

$$6 ! \times \frac{ 1 }{ 3 ! } \times \frac{ 1 }{ 2 ! }$$

Evaluate

$$60$$

Solution Steps

The factorial of 6 is 720.

$$720\times \frac{1}{3!}\times \frac{1}{2!}$$

The factorial of 3 is 6.

$$720\times \frac{1}{6}\times \frac{1}{2!}$$

Multiply 720 and \frac{1}{6} to get \frac{720}{6}.

$$\frac{720}{6}\times \frac{1}{2!}$$

Divide 720 by 6 to get 120.

$$120\times \frac{1}{2!}$$

The factorial of 2 is 2.

$$120\times \frac{1}{2}$$

Multiply 120 and \frac{1}{2} to get \frac{120}{2}.

$$\frac{120}{2}$$

Divide 120 by 2 to get 60.

$$60$$

Factor

$$2^{2}\times 3\times 5$$