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AMO 2019 Secondary 1 (Grade 7) Question 4

AMO · AMO 2019 Secondary 1 (Grade 7)

Question 4

Mr. and Mrs. Hansen and their three children sit around a circular table. In how many ways can they sit if the parents sit next to each other? Rotations count as the same arrangement; reflections count as different arrangements. In the illustration, Cases 1 and 2 are the same, but Case 3 is different.

Question illustration