Chapter 11.8, Problem 6WE

To determine

To calculate:

The given factorial.

Answer to Problem 6WE

The solution of $\frac{20!}{18!}$ is $380$ .

Explanation of Solution

Given information:

Factorial:

  $\frac{20!}{18!}$

Calculation:

Consider the factorial $\frac{20!}{18!}$

So put the value $\frac{20!}{18!}$ into the formula $\frac{n!}{n!}$

  $\frac{n!}{n!}=\frac{20!}{18!}$

The factorial of $\frac{20!}{18!}$ is calculated as,

  $\begin{array}{l}\frac{20!}{18!}=\frac{20\times 19\times \mathrm{18.....}\times 1}{18\times 17\times \mathrm{16.....}\times 1}\\ =380\end{array}$

Thus, the solution of given factorial is $380$ .