HMMT 2002 U18
- Guts
- Answer
Call the pentominoes found in the last problem square pentominoes. Just like dominos and ominos can be used to tile regions of the plane, so can square pentominoes. In particular, a square pentomino tiling of a region of the plane is a way of covering it (and only it) completely by nonoverlapping square pentominoes. How many square pentomino tilings are there of a 12 -by- 12 rectangle?
Dataset text NuminaMath olympiads. Quoted with source.
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