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IMAS 2021–2022 Junior Division, Round 2 Question 13

IMAS · IMAS 2021–2022 Junior Division, Round 2

Question 13

In a purchase, the quantity of item X must be not more than twice of quantity of item Y, but not less than one third of quantity of item Y. Moreover, the total quantity of the two products must not be more than 60. Find the total number of combinations of non-zero quantities satisfying these requirements.