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## 'Knights and Knaves' printed from http://nrich.maths.org/

The first person cannot be telling the truth, since if all the others are knaves, they could not all be lying when they say the person in front of them is a knave.

Theerfore the first person is a knave.

The second person says the first is a knave so is telling the truth; he is a knight.

The third says this knight is a knave so he is lying; he is a knave.

Continuing in this way we see that there is an alternating sequence of knave, knight, knave, knight... ending up with 13 knaves and 12 knights.

*This problem is taken from the UKMT Mathematical Challenges.*