MathDB

5

Part of 2023 Paraguay Mathematical Olympiad

Problems(1)

2x2 Domino game,

Source: 2023 Paraguayan Mathematical Olympiad L3 p5 - OMAPA

3/26/2024
In a 2×22\times 2 Domino game, each tile is square and divided into four spaces, as shown in the figure. In each box there is a number of points that varies from 00 points (empty) to 66 points. Two 2×22\times 2 Domino tiles are equal if it is possible to rotate one of the two tiles until the other is obtained. In a 2×22\times 2 Domino pack, what is the maximum number of different tiles that can be such that on each tile at least two squares have the same number of points? https://cdn.artofproblemsolving.com/attachments/5/3/87efeaa24efc78a75a78e94c53f296dd078f71.png
combinatorics