Let's write A, B, C, D, and E, instead of the whole names. A couldn't be 1st or 2nd, for he would be telling the truth, or 5th, for he would be lying, so he was 3rd or 4th. If D was telling the truth, then E would be lying, and thus D would be 1st, and lying; thus, D is lying, and he is 1st or 2nd. If E was lying, D would be 1st, so E would have to be 2nd, and then D would have been telling the truth; thus, E is 3rd, 4th or 5th, and D must be 2nd. Now, only B or C could be 1st. If B isn't 1st, as he couldn't be 2nd, he'd have to be 4th or 5th because C would be 3rd, but nobody would be 1st; thus, B was 1st, and C isn't 3rd, and A ended behind E. The only solution is then B, D, E, A and C. |