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 \\ (10!)/((5!(10-5)!)) \\ (10!)/((5!(10-5)!))=(10*9*8*7*6)/(5!) \\ =(10*9*8*7*6)/(5!) \\ =(10*9*8*7*6)/(5!)=252 \\ =252 \end{gathered}`

Your answer is 252.