Comments on: The 5-Card Trick, the 4-Card Trick, and the 3-Card Trick
https://blog.tanyakhovanova.com/2024/08/the-5-card-trick-the-4-card-trick-and-the-3-card-trick/
Mathematics, applications of mathematics to life in general, and my life as a mathematician.Thu, 12 Sep 2024 17:25:48 +0000
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By: possiblywrong
https://blog.tanyakhovanova.com/2024/08/the-5-card-trick-the-4-card-trick-and-the-3-card-trick/#comment-13989
Thu, 12 Sep 2024 17:25:48 +0000https://blog.tanyakhovanova.com/?p=2072#comment-13989Thanks for an interesting article and link to your paper! I like another way to extend the trick, parameterized by (n,m,k), where the audience chooses m cards from a deck of n cards, and the assistant chooses k of the m selected cards to arrange in some order, with the magician naming the remaining hidden m-k cards. This is a nice formulation, since it yields a very simple condition characterizing when the trick is possible, namely, if and only if C(n,m)<=P(n,k). (Proof here: https://possiblywrong.wordpress.com/2011/05/29/generalizing-fitch-cheneys-five-card-trick/)
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