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?

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

Step-by-step 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

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