### Instruction: In how many ways can 9 people sit around a round table?  (Two seatings are considered the same if one is a rotation of the other.).### Response: I know that the number of ways to arrange n objects in a row is n factorial, or n!.
But a round table is different, because if I rotate the seating by one seat, I get the same arrangement.
So I need to divide the number of ways to seat 9 people in a row by the number of ways to rotate the table, which is 9.
So the answer is 9! / 9, or 8!.