The 95 boxes each have the same number of balls
Source: Baltic Way 1995
October 8, 2011
combinatorics proposedcombinatorics
Problem Statement
Assume we have boxes and balls distributed in these boxes in an arbitrary manner. We take new balls at a time and place them in of the boxes, one ball in each of the six. Can we, by repeating this process a suitable number of times, achieve a situation in which each of the boxes contains an equal number of balls?