Indian Mathematical Olympiad 1988 - Problem 3
Source:
August 14, 2009
combinatorics proposedcombinatoricsknights and knaves
Problem Statement
Five men, , , , , 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:
: I see three black caps and one white cap.
: I see four white caps
: I see one black cap and three white caps
: I see your four black caps.