Puzzle #89: Chameleons on an Island

This is a very sweet puzzle I picked up from Gurmeet’s puzzles at http://gurmeet.net/puzzles/ (Thank you Gurmeet for such a wonderful collection of puzzles!). I tried this on a train ride with my two daughters, and my younger one (now 8 years) gave me the hint to solve the puzzle – so hope that will encourage all the younger lot to try the puzzle as well.

On an island live 13 purple, 15 yellow and 17 maroon chameleons. When two chameleons of different colors meet, they both change into the third color. Is there a sequence of pairwise meetings after which all chameleons have the same color?

As always, please send your answers directly to me at alokgoyal_2001@yahoo.com. If you like the puzzle, please share it with others. If you have interesting puzzles to share, please send them to me at my e-mail given above.

 

Happy changing colors and a very Happy Republic Day to all of you!

 

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