Solve 8*7*6div3!div4*3*2div3!

$$8 \times 7 \times 6 \div 3 ! \div 4 \times 3 \times 2 \div 3 !$$

Evaluate

$$14$$

Solution Steps

Express \frac{\frac{8\times 7\times 6}{3!}}{4} as a single fraction.

$$\frac{\frac{8\times 7\times 6}{3!\times 4}\times 3\times 2}{3!}$$

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{2\times 6\times 7}{3!}\times 3\times 2}{3!}$$

Multiply 2 and 6 to get 12.

$$\frac{\frac{12\times 7}{3!}\times 3\times 2}{3!}$$

Multiply 12 and 7 to get 84.

$$\frac{\frac{84}{3!}\times 3\times 2}{3!}$$

The factorial of 3 is 6.

$$\frac{\frac{84}{6}\times 3\times 2}{3!}$$

Divide 84 by 6 to get 14.

$$\frac{14\times 3\times 2}{3!}$$

Multiply 14 and 3 to get 42.

$$\frac{42\times 2}{3!}$$

Multiply 42 and 2 to get 84.

$$\frac{84}{3!}$$

The factorial of 3 is 6.

$$\frac{84}{6}$$

Divide 84 by 6 to get 14.

$$14$$

Factor

$$2\times 7$$