Knights and Knaves: Niaj, Peggy, Eve, Mallory, and Carol
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 Niaj, Peggy, Eve, Mallory, and Carol.
Niaj says: "Carol is a knight and Peggy is a knave."
Peggy says: "Niaj is a knave or Carol is a knight."
Eve says: "Carol is a knave."
Mallory says: "Peggy is a knave."
Carol says: "I am a knight or Niaj 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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