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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: ( You must be logged in to post comments.)
      Subject Author Date
    AnswerK Sengupta2008-03-15 05:08:34
    SolutionSolutionDej Mar2007-05-03 23:51:30
    re(4): Duh!tomarken2006-03-02 16:15:34
    re: I must be missing a big part of the puzzle...john2005-06-08 17:08:14
    Some Thoughtsre(3): Duh!john2005-06-08 16:57:31
    I must be missing a big part of the puzzle...Erik O.2005-01-12 15:44:54
    OopsGautam2003-01-21 16:21:28
    My AnswerGautam2003-01-21 15:06:45
    re(2): Duh!kyle2003-01-08 18:04:37
    re: Duh!TomM2002-07-30 16:29:44
    Duh!Emma2002-07-30 11:34:05
    re(2): solutionlucky2002-07-30 05:37:41
    re: solutionCheradenine2002-07-30 04:49:00
    re(3): solution (explanation)levik2002-07-30 04:46:55
    re(2): solution (explanation)TomM2002-07-30 04:13:09
    SolutionsolutionTomM2002-07-30 04:04:41
    Some ThoughtsNumbersNick Reed2002-07-30 02:07:32
    my apologiesCheradenine2002-07-29 22:09:01
    Perhaps...levik2002-07-29 20:28:41
    Questionre(3): change wording..TomM2002-07-29 17:55:18
    re(2): change wording..Nick Reed2002-07-29 13:58:47
    re: change wording..levik2002-07-29 09:00:24
    change wording..Cheradenine2002-07-29 07:34:48
    Any number?Ender2002-07-29 07:03:10
    re: What am I missing?Cheradenine2002-07-29 06:59:51
    QuestionWhat am I missing?Nick Reed2002-07-29 06:41:52
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