Each inhabitant of an island are either a truth teller who always speaks the truth, or a liar, who always speaks falsely.
Three boys P, Q and R who live in that island, are each either a truth teller, or a liar. It is known that P, Q and R together have 6 marbles. A passing visitor asked them how many marbles each had, to which P responded that he had only 1 marble, and Q responded that P had 2 marbles, while R said that P had more than 3 marbles. However all the three boys agreed that Q had precisely two marbles.
If each of the three boys had at least 1 marble, determine the respective number of marbles possessed by each of the three boys.