![]() This problem naturally led to the more general question of how to determine the maximum number of cards that could be chosen without a Set existing. Being an actuary by profession and an individual with a passion for mathematics, I was immediately drawn to the question of how to calculate the probability of no Set (the special meaning of this will be defined later) being present in twelve cards. My first investigation into the mathematics behind SET began with a Decemletter, written to the creators of the game, and concerning the odds statistics presented in the game’s instructions. However, it is evident, from the abundance of related articles and papers written, that SET has sparked an enormous amount of interest from non-mathematicians and mathematicians alike. THE TOTAL NUMBER OF INTERNAL SETS FOR ALL PARTITIONS OF THE DECKĮ-mail address: never thought that a purchase of a card game would lead to any kind of mathematical adventure.
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