Chapter 16.7, Problem 3MRE

To determine

To find: $\frac{8!}{3!5!}$ = ?

Answer to Problem 3MRE

56

Explanation of Solution

Given: $\frac{8!}{3!5!}$

Formula used: $n!=n.(n-1).(n-2)\mathrm{.......1}$

Using the above formula:

  $\begin{array}{l}\frac{8!}{3!5!}=\frac{\mathrm{8.7.6.5.....1}}{\mathrm{3.2.1.5.4.3.2.1}}\\ \Rightarrow \frac{\mathrm{8.7.6}}{\mathrm{3.2.1}}=\frac{8.7}{1}=56\end{array}$