Knights and Knaves: Heidi, Sybil, Eve, Niaj, and Peggy
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 Heidi, Sybil, Eve, Niaj, and Peggy.
Heidi says: "Peggy and Eve are of different types."
Sybil says: "Heidi is a knight and Niaj is a knave."
Eve says: "Sybil is a knight."
Niaj says: "Sybil is a knave and Eve is a knight."
Peggy says: "Eve is a knave."
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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