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:

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

So the total lineups are 240240.