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Shuffling a Pack of Cards and the Theory of Numbers

Published online by Cambridge University Press:  03 November 2016

F. C. Boon
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Extract

If a pack of playing cards is shuffled systematically and the operation of shuffling repeated exactly, then after a certain number of repetitions of the operation the original order of the pack will be restored.

The method of shuffling in ordinary card-games is a rough and ready inter-leaving of two parts of the pack. If this method were carried out in simple perfection, one half of the pack would be interleaved with the other, so that no two cards adjacent before the shuffling would be together after.

Type
Research Article
Information
The Mathematical Gazette , Volume 15 , Issue 205 , January 1930 , pp. 17 - 20
Copyright
Copyright © Mathematical Association 1930

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