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G-2013-05

Ordering 15 Marbles with a Three-Way Scale

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Consider a scale that accepts three marbles of different weights. The scale only ranks the marbles, by indicating the heaviest, the lightest and the middle one of the three. What is the least number of weighings necessary to rank 15 different marbles from heaviest to lightest? This paper proposes a strategy that requires at most 20 weighings.

, 13 pages

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Publication

The Mathematical Gazette, 98(542), 304–316, 2014 référence BibTeX

Document

G1305.pdf (360 Ko)