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2023 IOQM/Problem 17

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Problem

Consider the set \[S = \{ (a, b, c, d, e) : 0 < a < b < c < d < e < 100 \}\] where $a, b, c, d, e$ are integers. If $D$ is the average value of the fourth element of such a tuple in the set, taken over all the elements of S, find the largest integer less than or equal to D.

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