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26 May, 14:09

There are seven performers who will present their comedy acts this weekend at a comedy club. How many different ways are there to schedule their appearances?

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  1. 26 May, 15:07
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    There are 5040 different ways to schedule their appearances.

    Explanation:

    Let A, B, C, D, E, F, G be the slots in which the given performs 1,2,3,4,5,6,7 can perform

    For A we have 7 choices to select among (1,2,3,4,5,6,7)

    For B we have 6 choices to select among (2,3,4,5,6,7)

    For C we have 5 choices to select among (3,4,5,6,7)

    For D we have 4 choices to select among (4,5,6,7)

    For E we have 3 choices to select among (5,6,7)

    For F we have 2 choices to select among (6,7)

    For G we have 1 choice to select (7)

    Thus total different choices are 7!=5040
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