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Mathematics 17 Online
OpenStudy (anonymous):

a group of 7 musicians are competing to earn one of 3 spots. first chair, second chair, third chair. how many unique arrangement are possible?

OpenStudy (ganpat):

1st spot can be filled by any of those 7 musicians.. once it is filled, the 2nd chair can be filled from the remaining 6 individuals and 3rd chair from remaining 5.. SO total combinations = 7 * 6 * 5 = 210 !

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