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To determine the optimal strategies (i.e. the strategy maximizing the probability of a win), the statistical properties of the Lehmer code are crucial.
Allegedly, [[Johannes Kepler]] clearly exposed this [[secretary problem]] to a friend of his at a time when he was trying to make up his mind and choose one out eleven prospective brides as his second wife. His first marriage had been an unhappy one, having been arranged without himself being consulted, and he was thus very concerned that he could reach the right decision.<ref name="ferguson"/><ref>http://www.math.upenn.edu/~ted/210F10/References/Secretary.pdf<ref>
==See also==
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