Solve 16!/16!(11)!

$$\frac { 16 ! } { 16 ! ( 11 ) ! }$$

Evaluate

$$\frac{1}{39916800}\approx 0.000000025$$

Solution Steps

The factorial of 16 is 20922789888000.

$$\frac{20922789888000}{16!\times 11!}$$

The factorial of 16 is 20922789888000.

$$\frac{20922789888000}{20922789888000\times 11!}$$

The factorial of 11 is 39916800.

$$\frac{20922789888000}{20922789888000\times 39916800}$$

Multiply 20922789888000 and 39916800 to get 835170819401318400000.

$$\frac{20922789888000}{835170819401318400000}$$

Reduce the fraction \frac{20922789888000}{835170819401318400000} to lowest terms by extracting and canceling out 20922789888000.

$$\frac{1}{39916800}$$

Factor

$$\frac{1}{2 ^ {8} \cdot 3 ^ {4} \cdot 5 ^ {2} \cdot 7 \cdot 11} = 2.505210838544172 \times 10^{-8}$$