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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

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Summing the max value of the distinct pairs in a multiset

Say one has a multi set of natural numbers, or positive integers if that’s more useful. If $\#A = n$ and one knows $\sum_{a \in A} a$ What is it possible to say about $\sum_{a,a^{‘}\in A, a \neq a^{‘} …
Nick Arnold's user avatar