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Topic: Political Convention (Read 313 times) |
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ThudnBlunder
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Political Convention
« on: Nov 30th, 2003, 3:21am » |
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At a recent political convention there were 100 politicians present, each of whom was either totally honest or totally dishonest. We are given that, for any two politicians, at least one of them was totally dishonest. We are also given the rather dubious fact that at least one of the politcians present was totally honest.
How many totally honest politicians were present?
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THE MEEK SHALL INHERIT THE EARTH.....................................................................er, if that's all right with the rest of you.
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Dudidu
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Re: Political Convention
« Reply #1 on: Nov 30th, 2003, 3:53am » |
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Could it be one (1)  .
Although it is even hard to believe that this situation can occur  .
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tseuG
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Re: Political Convention
« Reply #2 on: Nov 30th, 2003, 3:57am » |
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" There has to be just one honest politician (say A). If there was even one more (say B), the pair A, B would violate the condition that out of any two atleast one has to be dishonest."
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aero_guy
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Re: Political Convention
« Reply #3 on: Dec 1st, 2003, 12:35pm » |
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But then again we have to ask which of the politicains gave you this information?
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