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 More chameleons (Posted on 2002-07-30)
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.

 Subject Author Date Answer K Sengupta 2008-03-15 05:08:34 Solution Dej Mar 2007-05-03 23:51:30 re(4): Duh! tomarken 2006-03-02 16:15:34 re: I must be missing a big part of the puzzle... john 2005-06-08 17:08:14 re(3): Duh! john 2005-06-08 16:57:31 I must be missing a big part of the puzzle... Erik O. 2005-01-12 15:44:54 Oops Gautam 2003-01-21 16:21:28 My Answer Gautam 2003-01-21 15:06:45 re(2): Duh! kyle 2003-01-08 18:04:37 re: Duh! TomM 2002-07-30 16:29:44 Duh! Emma 2002-07-30 11:34:05 re(2): solution lucky 2002-07-30 05:37:41 re: solution Cheradenine 2002-07-30 04:49:00 re(3): solution (explanation) levik 2002-07-30 04:46:55 re(2): solution (explanation) TomM 2002-07-30 04:13:09 solution TomM 2002-07-30 04:04:41 Numbers Nick Reed 2002-07-30 02:07:32 my apologies Cheradenine 2002-07-29 22:09:01 Perhaps... levik 2002-07-29 20:28:41 re(3): change wording.. TomM 2002-07-29 17:55:18 re(2): change wording.. Nick Reed 2002-07-29 13:58:47 re: change wording.. levik 2002-07-29 09:00:24 change wording.. Cheradenine 2002-07-29 07:34:48 Any number? Ender 2002-07-29 07:03:10 re: What am I missing? Cheradenine 2002-07-29 06:59:51 What am I missing? Nick Reed 2002-07-29 06:41:52

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