Chameleons at Dusk
brainteaser
A secluded colony contains 45 chameleons: 13 are red, 15 are green, and 17 are blue. Whenever two chameleons of different colours meet, they both immediately change to the third colour. For example, a red chameleon meeting a green one causes both to become blue. Meetings between two chameleons of the same colour have no effect.
The chameleons may meet in any order, and the process may continue for as many meetings as desired. Is there any sequence of meetings that eventually leaves all 45 chameleons the same colour?
Hints
Hint 1
Hint 2
Hint 3
Solution
Commit an attempt to unseal the proof. Write your answer — right or wrong, thinking it through is the point.
Can all 45 chameleons eventually become the same colour?
Rate this puzzle
Report a problem with this puzzle
Comments
No comments yet
Be the first to say something about this puzzle.