Question

An election ballot asks voters to select five city commissioners from a group of ten candidates. In how many ways can this be done?

Answer 1

Given the following question:

$\begin{gathered} n=10 \\ r=5 \\ \frac{10!}{(5!(10-5)!)} \\ \frac{10!}{(5!(10-5)!)}=\frac{10\times9\times8\times7\times6}{5!} \\ =\frac{10\times9\times8\times7\times6}{5!} \\ =\frac{10\times9\times8\times7\times6}{5!}=252 \\ =252 \end{gathered}$

Your answer is 252.