MathDB
2013 ToT Fall Junior A p1 0 red, 100 yellow and 100 green sticks

Source:

March 22, 2020
combinatoricsColoringcombinatorial geometry

Problem Statement

There are 100100 red, 100100 yellow and 100100 green sticks. One can construct a triangle using any three sticks all of different colours (one red, one yellow and one green). Prove that there is a colour such that one can construct a triangle using any three sticks of this colour.