MathDB
Inglorious Liars !

Source:

September 13, 2010
combinatorics proposedcombinatorics

Problem Statement

In a given country, all inhabitants are knights or knaves. A knight never lies; a knave always lies. We meet three persons, A,BA, B, and CC. Person AA says, “If CC is a knight, BB is a knave.” Person CC says, “AA and I are different; one is a knight and the other is a knave.” Who are the knights, and who are the knaves ?