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Red, White, and Blue (Posted on 2015-07-29) Difficulty: 3 of 5

  
A bag contains 3 red, 4 white, and 5 blue balls. Two balls of different
color are removed from the bag and replaced with two balls of the third color.

Prove that no matter how many times this procedure is repeated, it is impossible for all twelve balls in the bag to be the same color.
  

See The Solution Submitted by Bractals    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some Thoughtsre: Yet another approach... @Paul & BractalsAdy TZIDON2015-07-30 01:59:48
SolutionYet another approach. Jer2015-07-29 18:56:37
SolutionproofPaul2015-07-29 15:47:02
Solutioncomputer proofCharlie2015-07-29 14:35:28
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