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Color of Chameleon

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In a Zoo, there are 45 chameleons. At a certain point of time, the chameleons divided themselves with respect to their color at that point:

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  • 13 green chameleons
  • 15 blue chameleons
  • 17 yellow chameleons

Now, from this point of time, whenever two chameleons of different colors will meet, they will both change their color to the third one. That is, if green meets yellow, they both will change their color to blue.

Is it possible to have a state, where all chameleons are of the same color? Why or why not?

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