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MathNet 2014 Question 75

Math Olympiad Vault · MathNet 2014

Question 75

The International Mathematical Olympiad is being organized in Japan, where a folklore belief is that the number 4 brings bad luck. The opening ceremony takes place at the Grand Theatre where each row has the capacity of 55 seats. What is the maximum number of contestants that can be seated in a single row with the restriction that no two of them are 4 seats apart (so that bad luck during the competition is avoided)?