Solve 8!/3!(8!-3!)

$$\frac{ 8 ! }{ 3 ! (8 ! -3 ! ) }$$

Evaluate

$$\frac{1120}{6719}\approx 0.166691472$$

Solution Steps

The factorial of 8 is 40320.

$$\frac{40320}{3!\left(8!-3!\right)}$$

The factorial of 3 is 6.

$$\frac{40320}{6\left(8!-3!\right)}$$

The factorial of 8 is 40320.

$$\frac{40320}{6\left(40320-3!\right)}$$

The factorial of 3 is 6.

$$\frac{40320}{6\left(40320-6\right)}$$

Subtract 6 from 40320 to get 40314.

$$\frac{40320}{6\times 40314}$$

Multiply 6 and 40314 to get 241884.

$$\frac{40320}{241884}$$

Reduce the fraction \frac{40320}{241884} to lowest terms by extracting and canceling out 36.

$$\frac{1120}{6719}$$

Factor

$$\frac{2 ^ {5} \cdot 5 \cdot 7}{6719} = 0.16669147194522996$$