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resaAdam6ile9y
resaAdam6ile9y resaAdam6ile9y
  • 09-06-2016
  • Mathematics
Answered

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

Verified Answer :

metchelle
metchelle metchelle
  • 16-06-2016

There are 2,162,160 possible combination that could be made if there are 14 bands and only 6 slots available. This is computed using factorial. By using factorial we first need to identify the number of band and the number of slots available. It could be express as 14! - 8! or 14 x 13 x 12 x 11 x 10 x 9, which is equal to 2,162,160 combination.

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