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How do I find the number of group homomorphisms from the symmetric group $S_3$ to $\mathbb{Z}/6\mathbb{Z}$?

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    By the way, "the options I am given..." isn't really a part of the question from the mathematical point of view, so it probably shouldn't be posted here. If I think I can prove that the answer is 7, I will answer that way regardless of any instructions that may have been given to you by a third party for whatever reason :)2012-12-18

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