Solve 3!/15!

$$\frac { 3 ! } { 15 ! }$$

Evaluate

$$\frac{1}{217945728000}\approx 4.588298239 \cdot 10^{-12}$$

Solution Steps

The factorial of 3 is 6.

$$\frac{6}{15!}$$

The factorial of 15 is 1307674368000.

$$\frac{6}{1307674368000}$$

Reduce the fraction \frac{6}{1307674368000} to lowest terms by extracting and canceling out 6.

$$\frac{1}{217945728000}$$

Factor

$$\frac{1}{2 ^ {10} \cdot 3 ^ {5} \cdot 5 ^ {3} \cdot 7 ^ {2} \cdot 11 \cdot 13} = 4.588298239091889 \times 10^{-12}$$