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MathNet 2020 — Math Olympiad Vault — Part 06 Question 118

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 06

Question 118

Each cell of an $8\times8$ table contains a knight or a knave. As usual, knights always tell the truth and knaves always lie. Every inhabitant says: “The number of knaves in my column is strictly greater than the number of knaves in my row.” Determine the number of configurations consistent with these statements.