A colony of chameleons on an island currently comprises 13 green, 15 blue and 17 red individuals. When two chameleons of different colours meet, they both change their colours to the third colour. Is it possible that all chameleons in the colony eventually have the same colour?
The problem appeared in Kvant magazine and also in International Mathematics Tournament of the Towns. Republished by Alex Bellos in The Guardian.
Solution
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