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Probabilities on Latin Squares
Long, Anna
Long, Anna
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2023-05-19
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A Latin square is an n × n square that contains n different symbols, often numbers that are arranged so that each symbol appears exactly once in each row and column. In this project, we look at the probability of a random arrangement of symbols being a Latin square. I start with n number of n symbols; for example a 3×3 square will contain the numbers 1, 1, 1, 2, 2, 2, 3, 3, 3 in a random assortment. Using counting methods and statistical estimation through Python, we discover the proportion of Latin squares to total squares.
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Mathematics