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CTK Exchange
Jack Wert
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Dec-10-02, 09:54 PM (EST) |
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1. "RE: 12 coins puzzle"
In response to message #0
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According to a copy of an article from an early issue of Scientific American - in their Amateur Scientist column, the earliest publication of the 12 coin problem was by Howard D. Grossman, in a December, 1945 paper in Scripta Mathematica. In this paper he expanded on an eight coin problem wherein the counterfeit coin was known to be heavier - utilizing the balance for two weighings. Grossman’s problem, not only expanded to twelve coins, but, "introduced the more ingenious 12 coin version with three weighings, with the troublesome additional requirement that you tell whether the odd coin is lighter or heavier." The quote is directly from the Scieneific American article. Further, "in a matter of days, R. L. Goodstein published it, along with a generalization, in the Mathematical Gazette, the Brit'sh counterpart of Scripta Mathematica.." Jack
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Mike
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Sep-07-03, 12:06 PM (EST) |
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2. "RE: 12 coins puzzle"
In response to message #1
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OK it took a long page to explain the whole mathematical theory and all but isnt it pretty simple or am I just missing something. 1. Weigh 6 on each side. Take the six from the lighter side away. Its not them.
2. Split the remaining 6 and weigh them 3 left and 3 right. Take the 3 from the lighter side away. Its not them.
3. Weigh any 2. If the balance is even its not them and its the one in your hand. If its not even then its the one closest to the floor. Geez, talk about over thinking a problem. LOL
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alexb
Charter Member
1060 posts |
Sep-07-03, 12:12 PM (EST) |
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3. "RE: 12 coins puzzle"
In response to message #2
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LAST EDITED ON Sep-07-03 AT 08:17 PM (EST)
>OK it took a long page to explain the whole mathematical
>theory and all but isnt it pretty simple or am I just
>missing something. Yap, you are missing something big time. >1. Weigh 6 on each side. Take the six from the lighter
>side away. Its not them. Why? You do not know whether the fake is lighter or heavier. >Geez, talk about over thinking a problem. LOL LOL - Lough Out Loud. But who has the last lough? Hee-hee.
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