How Many Different Ways

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

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September 30th, 2015 | Category: Mathematical |  Email This Riddle

2 guesses to How Many Different Ways

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• brent

  September 30, 2015 at 8:33 AM

  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

• Dude

  October 2, 2015 at 9:12 AM

  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.