MathDB
A sum of maximums

Source:

May 11, 2006
AIME

Problem Statement

Let the set S={8,5,1,13,34,3,21,2}\mathcal{S} = \{8, 5, 1, 13, 34, 3, 21, 2\}. Susan makes a list as follows: for each two-element subset of S\mathcal{S}, she writes on her list the greater of the set's two elements. Find the sum of the numbers on the list.
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