Question

At a benefit​ concert, eleven bands have volunteered to perform but there is only enough time for eight of the bands to play. How many lineups are​ possible?

Answer 1

The correct answer is

Explanation:

At a benefit​ concert, eleven bands have volunteered to perform.

There is only enough time for eight of the bands to play.

We need to find how many lineups are​ possible.

We would need to choose 8 bands out of 11 and their arrangements should be unique. Also that no band can perform twice.

There fore the number of possible line ups are
`\left[\begin{array}{ccc}11\\8\end{array}\right]` = 165 ways.

Therefore 8 bands out of the 11 can lineup in 165 different ways and perform at the benefit concert.