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Unformatted text preview: The answer is yes! The product of the integers from 1 to 9 is 362880. If all three sets formed a product less than 71, the product of the three would be no larger than 71 3 = 357911, which is too small. One can come close. The partition {9,8}, {6,4,3}, {7,5,2} (with the 1 being put anywhere) gives products 72, 70, 70....
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 Spring '10
 AlbertoDelgado
 Combinatorics

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