Knights and Knaves: Peggy, Ivan, Frank, Rupert, and Sybil
Verified— unique solution
knights knaves
On an island, every inhabitant is either a knight, who always tells the truth, or a knave, who always lies. You meet Peggy, Ivan, Frank, Rupert, and Sybil.
Peggy says: "Ivan and Frank are of the same type."
Ivan says: "I am the same type as Peggy."
Frank says: "I am a knight and Rupert is a knave."
Rupert says: "Sybil is a knight and Ivan is a knight."
Sybil says: "Ivan is a knight and Frank is a knight."
Who is a knight and who is a knave?
Hints
Hint 1
Hint 2
Hint 3
Solution
Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.
Once you've worked out who is who: how many of the 5 inhabitants are knaves? Answer with the number.
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