The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: 12 billiard ball problem
Replies: 15   Last Post: Jan 4, 2013 12:07 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
H. Peter Anvin

Posts: 4
Registered: 12/12/04
Re: 12 billiard ball problem
Posted: Nov 18, 1997 6:53 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

Followup to: <01bcf44e$fef00320$8de52ac2@jon>
By author: "Jonathan Pearce" <>
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.)

PGP: 2047/2A960705 BA 03 D3 2C 14 A8 A8 BD 1E DF FE 69 EE 35 BD 74
See for web page and full PGP public key
I am Bahá'í -- ask me about it or see
"To love another person is to see the face of God." -- Les Misérables

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.