In the land of Zoz, there are three types of people. In addition to the usual Knights and Liars, there are Switchkins who become whatever they say they are.

One morning, three groups of 30 gather. The first group has one type, the second group has an equal number of two types, and the third group has an equal number of all three types.

Everybody in one group says "We are all Knights", everybody in another group says "We are all Liars", and everybody in the remaining group says "We are all Switchkins."

How many Liars are there after this announcement?

(In reply to Flaw Edit by Eric)

The flaw is accepted. This problem appeared in a book by Philip Carter & Ken Russel.

I am a Knight, Iam a Liar & I am a Switchkin announced by all the members of the various groups is right.

Please continue with this change. 

Posted by Salil on 2006-07-23 11:09:29