Beach Day by Rodger Bliss
June 2024
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How Many Different Ways

How Many Different Ways
How many different ways can seven people arrange themselves in a row of seven seats?

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2 guesses to How Many Different Ways

  • brent

    Should be 7! (7 factorial) or 5040 ways.

    1 chair = 1 way
    2 chairs = 2 ways
    3 chairs = 3 x 2 ways
    4 chairs = 4 x 3 chairs (which is 3 x 2)
    5 chairs = 5 x 4 chairs (which is 4 x 3 x 2)
    etc.
    7 chairs = 7 x 6 x 5 x 4 x 3 x 2 (x 1 if you want) = 5040

  • Brent, you are today’s winner!
    5,040 ways. 7 x 6 x 5 x 4 x 3 x 2 x 1. The first person can choose any of 7 seats, the second person any of 6 seats, the third any of five seats, etc.