ASU 407 All Soviet Union MO 1985 cube, cubic box, 6 colours, game
Source:
August 5, 2019
game strategygamecombinatorics
Problem Statement
Given a cube, a cubic box, that exactly suits for the cube, and six colours. First man paints each side of the cube with its (side's) unique colour. Another man does the same with the box. Prove that the third man can put the cube in the box in such a way, that every cube side will touch the box side of different colour.