Originally posted by kcams
if one of the men had beet on his face then two of the men would laugh but only 2.
if two of the man had beet on their face then all of the men would be laughing but only looking at the two men with beet on their face, as all the men are laughing and looking at each other when they do this then all of them must have beet on their face.
Sorry, I should have pointed out that none of the wise men can see their own face.
Also, if anyone has beet on their face then all three wise men would laugh, mostly because they're jerks. If a wise man saw another wise man laughing and looking at him, he would consider it convivial.
So I guess I'm saying that your solution is a common sense one, but doesn't logically answer the question, and it's not the one I'm looking for.