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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.)
    Duh! | Comment 16 of 27 |
    You people are all either really dumb or so smart that you can't see the obvious (the latter applies to TomM and the former to everyone else)! You don't need to go through complexed mathmetical equations to find out that there are no chameleons left: all you need is simple logic! Since these chameleons fight to the death and the winner changes color, every white chameleon on the island either died or changed color: meaning that there are NONE left. Problem solved.
      Posted by Emma on 2002-07-30 11:34:05
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