MathDB
TOT 2004 Fall - Senior O-Level p2 box contains 100 red, blue, white balls

Source:

February 25, 2020
Coloringcombinatorics

Problem Statement

A box contains red, blue, and white balls, 100100 balls in total. It is known that among any 2626 of them there are always 1010 balls of the same color. Find the minimal number NN such that among any NN balls there are always 3030 balls of the same color.