The "5-cube puzzle" we gave a few weeks ago proved to be more difficult than we’d anticipated. So here is a much easier version of the ‘5-tile puzzle’:
Find the maximum number of configurations that can be made using five square tiles where each tile must touch another tile and the two touching edges are congruent. Each configuration must use all five tiles and be different from all other configurations. If a different-looking configuration can be rotated to look exactly like another one, it is considered to be not a different configuration but an identical one.
For the Advanced Puzzle Solvers, do the same but with six tiles instead of five.