Who's crooked?
Consider a group of 100 politicians. Each one is either crooked or honest ... (jeez! can't believe I am suggesting that Venn diagrams of Honesty and Politicians might actually intersect ... oh well). You are given 2 facts:
a) at least one of the politicians is honest
b) given any two of the politicians, at least one of the two is crooked
Can you determine how many of the 100 are honest and how many are crooked? ... explain.
a) at least one of the politicians is honest
b) given any two of the politicians, at least one of the two is crooked
Can you determine how many of the 100 are honest and how many are crooked? ... explain.
posted by Zaux at
12:09 PM
6 Comments:
1 is honest
Anonymous ... it was given that one is honest ... care to explain
You wind up artist you. You know perfectly well what he meant, LOL.
If as many as 2 were honest (the problem would definitely be hypothetical), then you could be given a pair that were honest - and that'd break rule b).
I am with anonymous - Only 1 is honest.
This means statement a) is correct, and with statement b), any more than 1 honest politician and there is a possibility of the statement being incorrect.
However, I believe I may be reading the question incorrectly. As I understand the question, there is the inference that there is at least 1 honest politician. Surely Zaux, you have written the question down incorrectly, or this is some sort of warped fantasy you have?
It's the darn pain meds.
okay ... you got me ... one is obviuosly right.
It was so obvious, I thought it might inspire some wild speculation.
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