1, 2, Or 3 Of Us Are Knaves

Logic Level 2

Edgar Abercrombie was an anthropologist who was particularly interested in the logic and sociology of lying and truth-telling. One day, he visited the island of Knights (who always tell the truth) and Knaves (who always lie), and met three people, Andrew, Bernard and Charlie.

Andrew: "Exactly one of us is a knave."
Bernard: "Exactly two of us are knaves."
Charlie: "All of us are knaves."

Which of them are knaves?

This problem is taken from Raymond M. Smullyan's book Logical Labyrinths.

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