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More chameleons (Posted on 2002-07-30) Difficulty: 3 of 5
Long ago, there existed a species of fighting chameleons. These chameleons were divided into six types of matching color and strength:
  • Black were the strongest, followed by
  • blue,
  • green,
  • orange,
  • yellow and
  • white which were the weakest.

    Whenever two chameleons of the same color met, they would fight to the death and the victor would become stronger and change color (eg white to yellow). Black chameleons would fight eternally.

    The small island of Ula was initially populated by a group of fighting chameleons. For this group

    a) the colors present each had an equal number of chameleons (for example, group = 3 black, 3 green and 3 yellow)

    b) it was not made up entirely of white chameleons

    After all the possible fighting was done, there remained one black and green and no blue or orange chameleons.

    How many white chameleons remained in the island? Prove it.

  • See The Solution Submitted by Cheradenine    
    Rating: 3.5000 (14 votes)

    Comments: ( Back to comment list | You must be logged in to post comments.)
    I must be missing a big part of the puzzle... | Comment 21 of 26 |

    What if the initial population of Ula was 1 black chameleon, 1 green chameleon, 0 or 1 yellow chameleon, and 1 white chameleon?

    All possible fighting would be immediately complete and the result would include a white chameleon.

    What am I missing from the stated problem?

      Posted by Erik O. on 2005-01-12 15:44:54
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