Chapter 11.8, Problem 4OE

To determine

To calculate:

The given factorial.

Answer to Problem 4OE

The solution of $\frac{11!}{9!}$ is $110$ .

Explanation of Solution

Given information:

Factorial:

  $\frac{11!}{9!}$

Calculation:

Consider the factorial $\frac{11!}{9!}$

So put the value $\frac{11!}{9!}$ into the formula $\frac{n!}{n!}$

  $\frac{n!}{n!}=\frac{11!}{9!}$

The factorial of $\frac{11!}{9!}$ is calculated as,

  $\begin{array}{l}\frac{11!}{9!}=\frac{11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}\\ =\frac{39916800}{362880}\\ =110\end{array}$

Thus, the solution of given factorial is $110$ .