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Knights always tell the truth but knaves never tell the truth. In a group of three individuals (who we will label as #1, #2, and #3) each is either a knight or a knave. Each makes a statement:

#1: "We are all three knaves." #2: "Two of us are knaves and one of us is a knight." #3: "I am a knight and the other two are knaves."

Which are knights and which are knaves? Explain your reasoning.

 

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