Honest Politicians

There is a room full of 100 politicians. Each one is either honest or a liar. You know to facts about these politicians:

1. At least one of them is honest.
2. If you pick any two politicians, at least one of them is a liar.

From this information, can you determine how many politicians are honest and how many are liars?

View Answer
One politician is honest and 99 are liars.  We know from the facts at least one politician is honest.  If more than one were honest you could potentially pick two politicians that would both be honest.  However, fact number two tells us that at least one of the politicians would have to be a liar.

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