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PrintDutch Mathematical Olympiad
Netherlands counting and probability
Problem
There are people sitting at a round table. Each person is either a knave or a knight. Knights always speak the truth and knaves always lie. The first person says: "There is at least one knave at this table." The person to the left says: "There is at least one knight at this table." The third one says: "There are at least two knaves at this table." The fourth says: "There are at least two knights at this table." This continues, until the last person at the table says: "There are at least knaves at this table." The first person, who has already made a statement, now says: "There are at least knights at this table." How many knaves are sitting at the table? A) B) C) D) E)
Solution
B)
Final answer
B
Techniques
Logic