Question

at a benefit concert 14 bands have volunteered to perform but there is only enough time for 5 bands to play. how many lineups are possible?

Answer 1

As given that there are 14 bands have volunteered to perform but there is only enough time for 5 bands to play.

So the total lineups are:

`\begin{gathered} 14p5=(14!)/((14-5)!) \\ 14p5=(14!)/(9!) \\ 14p5=240240 \end{gathered}`

So the total lineups are 240240.