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At a convention for lawyers it was known that of the 100 present, at least one was honest, yet if you met any two of the lawyers, you could guarantee that at least one of the two would be crooked. How many honest lawyers were present?
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Would this be 1?
correct,
consider what would happen if there were two honest lawyers. then if you sampled both of these two honest lawyers, there would no crooked lawyer and you would violate the rule : if you meet any 2 lawyers (sample of size 2) there is at least one crooked lawyer
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