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IMAS 2015 — Upper Primary Grades 5–6 — Round 2 Question 12

IMAS · IMAS 2015 — Upper Primary Grades 5–6 — Round 2

Question 12

There are 26 toys be distributed into five boxes, with a, b, c, d and e toys in them respectively, where a, b, c, d and e are positive integers. The diagram shows four combinations of two boxes at a time. The total number of toys in the two boxes exceeds 11 in all but the second case. How many different distributions are there?

Question illustration

Question illustration

Question illustration

Question illustration