Solve 10!/10!6!

$$\frac{ 10 ! }{ 10 ! 6 ! }$$

Evaluate

$$\frac{1}{720}\approx 0.001388889$$

Solution Steps

The factorial of 10 is 3628800.

$$\frac{3628800}{10!\times 6!}$$

The factorial of 10 is 3628800.

$$\frac{3628800}{3628800\times 6!}$$

The factorial of 6 is 720.

$$\frac{3628800}{3628800\times 720}$$

Multiply 3628800 and 720 to get 2612736000.

$$\frac{3628800}{2612736000}$$

Reduce the fraction \frac{3628800}{2612736000} to lowest terms by extracting and canceling out 3628800.

$$\frac{1}{720}$$

Factor

$$\frac{1}{2 ^ {4} \cdot 3 ^ {2} \cdot 5} = 0.001388888888888889$$