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Knights and Knaves: Alice, Carol, Olivia, Eve, and Niaj

Verified— unique solution
knightsknaves
On an island, every inhabitant is either a knight, who always tells the truth, or a knave, who always lies. You meet Alice, Carol, Olivia, Eve, and Niaj. Alice says: "Carol is a knave." Carol says: "Eve is a knight." Olivia says: "Alice is a knave." Eve says: "I am a knight or Alice is a knight." Niaj says: "Eve is a knave and Olivia 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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