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5. (5 marks) An island has two types of inhabitants: Knights who always tell the truth and knaves who always lie. On the island,

5. (5 marks) An island has two types of inhabitants: Knights who always tell the truth and knaves who always lie. On the island, you encounter A, B, and C who are inhabitants of the island. A says "A, B, and C are all knaves". B says "Exactly one of A, B, and C is a knave". Determine the identities of A and C. Explain your reasoning.

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