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AMO · 2027 · Grades 6-7 · Self-study SET 28 Question 9

AMO

Question 9

Mr and Mrs Hansen and their three children sit at a circular table. In how many different ways can they sit if the parents are adjacent? The five people are distinct. Rotations count as the same arrangement; reflections count as different. In the original example below, Cases 1 and 2 are rotations of each other, while Case 3 differs.

Question illustration

**Input:** Choose one option.
  1. 4
  2. 6
  3. 8
  4. 12
  5. 16