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Puzzle #3 for May, 2008 “The Politician Puzzle”:

A recent convention had 100 politicians. Each politician was either crooked or honest.

We are given the following two additional facts:
    At least one of the politicians was honest.
    Given any two of the politicians, at least one of the two was crooked.

Can it be determined from these two additional facts how many of the politicians were honest and how many of them were crooked?


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