MathDB

6

Part of 2019 Centroamerican and Caribbean Math Olympiad

Problems(1)

2019 Central American and Caribbean Mathematical Olympiad, P6

Source:

6/19/2019
A triminó is a rectangular tile of 1×31\times 3. Is it possible to cover a 8×88\times8 chessboard using 2121 triminós, in such a way there remains exactly one 1×11\times 1 square without covering? In case the answer is in the affirmative, determine all the possible locations of such a unit square in the chessboard.
combinatoricstiles