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How many ways can 8 people sit around a round table?

This is a circular permutation because the order around the table matters, but a full rotation of the same seating is not new.

Exact result

5,040

8 distinct items around a circle can be arranged in 5,040 ways.

For 8 people around one round table, you fix one seat and arrange the remaining 7 people. Rotating the finished table does not create a different seating.

Worked steps

Show your work

  1. Input: n = 8
  2. Formula: (n - 1)!
  3. Substitute: (8 - 1)!
  4. Steps: fix one seat and arrange the remaining 7 items
  5. Result: 8 distinct items around a circle can be arranged in 5,040 ways.

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For 8 people around one round table, you fix one seat and arrange the remaining 7 people. Rotating the finished table does not create a different seating.

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