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28 December, 06:05

A singer-songwriter wishes to compose a melody. Each note in the melody must be one of the 12 notes in her vocal range. How many different sequences of 3 notes are possible?

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  1. 28 December, 08:55
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    220

    Step-by-step explanation:

    This is a selection problem. We want to know the number of different sequences of 3 notes that are possible.

    This can be solved using a combination approach. The question can be rephrased as in how many ways can 3 notes sequence be obtained from 12 notes in the vocal range

    This is 12C3 = 12! / (12-3) !3! = 220

    They are 220 possible different sequences
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