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Sum of abc that a+b+c=2013

Source: 2013 Thailand October Camp Combinatorics Exam p3

March 7, 2022
combinatoricsalgebra

Problem Statement

Let SS be the set of all 3-tuples (a,b,c)(a, b, c) of positive integers such that a+b+c=2013a + b + c = 2013. Find (a,b,c)Sabc.\sum_{(a,b,c)\in S} abc.