Discrete Maths Puzzle

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Mickey

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May 28, 2010, 1:30:46 AM5/28/10
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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 would have the same color?
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