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SMO 2017 Open Round 1 Question 16

SMO · SMO 2017 Open Round 1

Question 16

There are 674 apples, 674 oranges and 674 pears to be packed into 2 boxes such that both boxes contain 3 types of fruits and the products of the number of apples, oranges and pears in both boxes are the same. Determine the number of ways that this can be done.