SOLUTION: A singer/performer is auditioning for a musical play. If she is required to sing any three of the 7 prepared songs, in how many ways can she make her choice?
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Question 1178645: A singer/performer is auditioning for a musical play. If she is required to sing any three of the 7 prepared songs, in how many ways can she make her choice? Answer by Edwin McCravy(20055) (Show Source):
If the order in which she sings them doesn't matter, then it's
7 songs CHOOSE 3 = 7C3 = [(7)(6)(5)]/{(3)(2)(1)] = 35 ways.
If the order in which she sings them matters, then it's
7 songs POSITION 3 = 7P3 = (7)(6)(5) = 210 ways.
Edwin
