Darwin and the survival of a species...
Puzzle Question:
"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?"
Level of Toughness:
Intermediate
Simple. "Yes" Blue meets
Simple. "Yes" Blue meets Red. Now 12 R, 16 G, 16 B
G meets B 16 times, turning red. All red.
The initial difference(in
The initial difference(in count) between the 3 colours is even i.e. 2 or 4.
Every colour change results in the reduction of the count of 2 colours by 1 and increase of 1 colour by 2 so effective change in differences will be 0 or 3 (odd) so there is no way the differences between any 2 colour strengths can ever be 0.
so we can never get to a stage where 2 colours have the same count to be able to completely turn into the 3rd colour.
Thanks