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Re: 12 billiard ball problem
Posted:
Nov 18, 1997 6:53 PM


Followup to: <01bcf44e$fef00320$8de52ac2@jon> By author: "Jonathan Pearce" <jvpearce@classic.msn.com> In newsgroup: sci.math > > Does anybody know of an elegant solution to the twelve billiard ball > problem? > > (Twelve apparently identical billiard balls, one of which is slightly > heavier than the rest, determine which is the heavier one making only three > weighings.) > > I would be very grateful for a reply. > > JVP.
Why make it so easy? Twelve billiard balls (gold bars, whatever...); exactly one is *either* lighter *or* heavier than the others; find which one it is *and* if it is lighter or heavier, in three weighings by a balance scale.
My music teacher gave me this problem back in sixth grade. It's solvable (and yes, I found the solution.)
hpa  PGP: 2047/2A960705 BA 03 D3 2C 14 A8 A8 BD 1E DF FE 69 EE 35 BD 74 See http://www.zytor.com/~hpa/ for web page and full PGP public key I am BahÃÂÃÂ¡'ÃÂÃÂ  ask me about it or see http://www.bahai.org/ "To love another person is to see the face of God."  Les MisÃÂÃÂ©rables



