MathDB
Indian Mathematical Olympiad 1988 - Problem 3

Source:

August 14, 2009
combinatorics proposedcombinatoricsknights and knaves

Problem Statement

Five men, A A, B B, C C, D D, E E are wearing caps of black or white colour without each knowing the colour of his cap. It is known that a man wearing black cap always speaks the truth while the ones wearing white always tell lies. If they make the following statements, find the colour worn by each of them: A A : I see three black caps and one white cap. B B : I see four white caps C C : I see one black cap and three white caps D D : I see your four black caps.