Alex, Bert, and Carl are running for mayor in a town populated by knights and liars. 200 people from the town were gathered as a polling group. Each person in the group favors exactly one candidate.

The first surveyor asked each person "Will you vote for Alex?". The second surveyor asked each person "Will you vote for Bert?". The third surveyor asked each person "Will you vote for Carl?".

The results were as follows: 112 said they would vote for Alex, 82 said they would vote for Bert, and 64 said they would vote for Carl.

How many knights were in the group? At least how many knights said they would vote for Alex? For Bert? For Carl?

If there were 258 yes responces and 200 people, that means 58 people said yes twice.  So 58 lairs and 142 knights.

If there was 58 lairs at least 54 knights voted for Alex, at least 24 kights voted for Bert, at least 6 knights voted for Carl.

Posted by Whit on 2005-09-30 21:30:08