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


How Many Different Ways
2 guesses to How Many Different Ways 

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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.