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MathNet 2021 — Part 03 Question 60

Math Olympiad Vault · MathNet 2021 — Part 03

Question 60

A set of 8 dominoes is given, each consisting of two unit squares:
Question illustration
Is it possible to completely cover a rectangular grid of size $4 \times 4$ with these dominoes in such a way that all rows and columns of the grid contain the same number of pips?