Around a circular table, the number of distinct seating arrangements of four people, counting rotations as the same, is
- A. four
- B. six
- C. twelve
- D. twenty four
Explanation
Circular arrangements of n people number n minus 1 factorial, because fixing one person removes the equivalent rotations, so for four people it is 3 factorial, which is 6. In a row the same four people could be arranged in 24 ways. The difference is exactly the factor of four rotations.
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