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IMAS 2020 — Upper Primary Grades 5–6 — Round 1 Question 15

IMAS · IMAS 2020 — Upper Primary Grades 5–6 — Round 1

Question 15

There are three boxes that are painted red, yellow and blue respectively. We are to put 2 identical apples and 2 identical pears into these three boxes such that no two identical fruit can be placed into the same box. If empty boxes are allowed, how many different placement methods can we have?
  1. 27
  2. 18
  3. 12
  4. 9
  5. 6