Quote:
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Originally Posted by Chris Card
maybe I've gone wrong, but I can see two answers:
A, B and D lying, C and E truthful
A, C and E lying, B and D truthful
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Impossible. If A is lying, then his statement is false.
But if his statement is false then D is telling the truth. But your
case 1 says D is lying.
In case 2 If A is lying, then C must be telling the truth.
I can't find any combination that doesn't lead to a contradiction.
Suppose A is telling the truth. Therefore C & D are lying.
But if C is lying, then D is telling the truth --> contradiction
Suppose A is lying. Then C & D are telling the truth. But if C is telling
the truth then D is lying, contradicting A.
A can be neither lying nor telling the truth.
Something doesn't add up.