SOLUTION: A pianist plans to play 3 pieces at a recital from her repertoire of 22 pieces, and is carefully considering which song to play first, second, etc. to create a good flow. How many
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Question 1169713: A pianist plans to play 3 pieces at a recital from her repertoire of 22 pieces, and is carefully considering which song to play first, second, etc. to create a good flow. How many different recital programs are possible? Answer by ikleyn(52887) (Show Source):
The ANSWER is this number 22*21*20 = 9240 different recital programs.
The pianist may play any of the 22 pieces first;
then any of remaining 21 pieces next;
then any of remaining 20 pieces finally.