How many ways can seven people be seated in a round table?
Question
How many ways can seven people be seated in a round table?
Solution
The number of ways to arrange n distinct objects in a circle is (n-1)!. This is because you can fix one person (say, person A) at one spot to break the symmetry of the circle, and then arrange the remaining (n-1) people in (n-1)! ways.
So, for 7 people, the number of ways to arrange them around a round table would be (7-1)! = 6! = 720 ways.
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