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impossible to tile a 10 x 10 board with so many pieces of this type

Source: Mexican Mathematical Olympiad 1994 OMM P6

July 29, 2018
combinatorial geometryTilingtilescombinatorics

Problem Statement

Show that we cannot tile a 10x1010 x 10 board with 2525 pieces of type AA, or with 2525 pieces of type BB, or with 2525 pieces of type CC.
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