Question

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

Answer 1

At a benefit concert there will be 332,640 line ups

Explanation:

The permutation problem 6 out of 11

11 bands can be performed in 11p₆ places

As it is a line up it requires an order hence it is a permutation is

Number of possible line ups = 11! / (11 - 6) !

= 11! / 5!

= 11 x 10 x 9 x 8 x 7 x 6 x 5! / 5!

= 332,640 line ups

At a benefit concert there will be 332,640 line ups