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 Many coins - one fake (Posted on 2003-05-14)
Given a balance scale that is sure to break after X weighings, find an equation for the largest number of coins N, from which you can determine a fake coin that has the wrong weight if

A: You know whether the fake is lighter or heavier

B: You do not know whether the fake is lighter or heavier

(Assume only one of the N coins is fake)

 See The Solution Submitted by Jonathan Waltz Rating: 3.7143 (7 votes)

 Subject Author Date Solution FrankM 2008-02-16 13:07:19 my solution geoffrey 2003-10-09 14:53:17 re: solution to B John Smith 2003-09-03 16:00:26 re(3): solution to B - apologies Sanjay 2003-05-19 09:00:57 re(4): solution to B pleasance 2003-05-19 06:49:49 re(3): solution to B Charlie 2003-05-19 04:30:47 re(2): solution to B pleasance 2003-05-19 03:18:05 re: solution to B Sanjay 2003-05-18 10:12:28 re: solution to B Charlie 2003-05-18 04:48:18 solution to B pleasance 2003-05-18 01:55:49 The answer to 'fakeness' Sanjay 2003-05-16 16:31:42 another approach to problem B pleasance 2003-05-16 02:35:00 re(4): Weighty Solution (maybe!) Chris 2003-05-15 06:53:29 re(3): Weighty Solution (maybe!) Chris 2003-05-15 06:43:16 re(3): Weighty Solution (maybe!) Hank 2003-05-15 03:07:01 re(2): Weighty Solution (maybe!) Gamer 2003-05-14 12:22:35 re: Weighty Solution (maybe!) Chris 2003-05-14 10:48:06 Weighty Solution (maybe!) Chris 2003-05-14 10:30:45 Weighing in on this one.... Brian Smith 2003-05-14 09:21:22 solution for A; thoughts on B Charlie 2003-05-14 09:17:00

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