Knights and Knaves: Niaj, Grace, Bob, Frank, and Peggy
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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, Grace, Bob, Frank, and Peggy.
Niaj says: "Frank and I are of different types."
Grace says: "Peggy is a knight and I am a knave."
Bob says: "Grace is a knave."
Frank says: "Niaj and Bob are of the same type."
The others say nothing.
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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