MathDB
7 elements of set {1,2,3, ...,26}, exist 2 with the same sum

Source: Danube 2012 Junior p4

July 22, 2019
SumSubsetssetcombinatorics

Problem Statement

Let AA be a subset with seven elements of the set {1,2,3,...,26}\{1,2,3, ...,26\}. Show that there are two distinct elements of AA, having the same sum of their elements.