Sunday Puzzle : Can You Solve The Chameleon Riddle?

Question :

chamelion riddle


A museum has 13 blue, 15 red, and 17 green chameleons. Whenever two chameleons of different colors meet, they both change into the color of the other chameleon (if blue and red met, for example, they would both turn green).

As the chameleons mingle, is it ever possible that they all end up being the same color?

If so, how? If not, why not?


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