At one point, a remote island's population of chameleons was divided as follows:

• 13 Red chameleons
• 15 Green chameleons
• 17 Blue chameleons

Each time two different colored chameleons would meet, they would change their color to the third one. (I.E. If Green meets Red, they both change their color to Blue.)

Is it ever possible for all chameleons to become the same color? (Why or why not?)

The answer is that they cannot all become one color, but I don't have the proof. Which means I have no solution... So, suggestions are welcome.

Posted by levik on 2002-04-20 15:53:00