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Find the smallest possible sum of the 4 numbers on a side

Source: CWMO 2003, Problem 1

December 27, 2008
combinatorics unsolvedcombinatorics

Problem Statement

Place the numbers 1,2,3,4,5,6,7,8 1, 2, 3, 4, 5, 6, 7, 8 at the vertices of a cuboid such that the sum of any 3 3 numbers on a side is not less than 10 10. Find the smallest possible sum of the 4 numbers on a side.
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