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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.)
    Some Thoughts re(3): Duh! | Comment 22 of 27 |
    (In reply to re(2): Duh! by kyle)

    Duh! 

    Let's see, it seems that whenever anyone posts a comment with Duh! as the subject they are pretty much slammed by more intelligent people at the site.  That is because they think they are stating the obvious but are really sorely mistaken. 

    Hey Levik maybe it might be a neat thing to put into the statistics, How many people who use duh! as a subject are correct and how many are slammed because they are idiots.  I think it will probably be somewhere around a couple of hundred to goose egg. Haha.

    Emma, take this as a nice piece of advice.  Some of the others laugh at the ignorance.  This is an old problem so this may never be read, but if just one person reads it and laughs it will be worth it.

     


      Posted by john on 2005-06-08 16:57:31
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