MathDB
factory

Source: Netherlands 1985

June 27, 2009
combinatorics unsolvedcombinatorics

Problem Statement

In a factory, square tables of 40×40 40 \times 40 are tiled with four tiles of size 20×20 20 \times 20. All tiles are the same and decorated in the same way with an asymmetric pattern such as the letter J J. How many different types of tables can be produced in this way?