1991 AJHSME Problems/Problem 5
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Problem
A "domino" is made up of two small squares: Which of the "checkerboards" illustrated below CANNOT be covered exactly and completely by a whole number of non-overlapping dominoes?
Solution
For a bunch of dominoes to completely tile a board, the board must have an even number of squares. The board clearly does not, so cannot be tiled completely.
See Also
1991 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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