Problem

2003 AIME I Problem 3

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

Leading zeroes must be inputted, so if your answer is 34, then input 034


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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Problem Tags: Counting and probability

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