Maths Olympiad Prep

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Combinatorics Difficulty 1.0 Junior Find the answer United Kingdom

Three friends make the following statements. Ben says, "Exactly one of Dan and Cam is telling the truth." Dan says, "Exactly one of Ben and Cam is telling the truth." Cam says, "Neither Ben nor Dan is telling the truth." Which of the three friends is lying?

(A) Just Ben (B) Just Dan (C) Just Cam (D) Each of Ben and Cam (E) Each of Ben, Cam and Dan

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