1986 AIME Problems/Problem 12

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Problem

Let the sum of a set of numbers be the sum of its elements. Let $\displaystyle S$ be a set of positive integers, none greater than 15. Suppose no two disjoint subsets of $\displaystyle S$ have the same sum. What is the largest sum a set $\displaystyle S$ with these properties can have?

Solution

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See also

1986 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 11
Followed by
Problem 13
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions