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History of the Binomial Coefficients Around The World

        The binomial coefficients have been studied in cultures around the world, both in the context of binomial expansions and in the obvious question of how many ways to choose k items out of a collection of n things. A.W.F. Edwards' book Pascal's Arithmetical Triangle is the best source we have found in the English language for the world history of the concepts found in the binomial coefficients, and most of the information here is a summary of the excellent scholarly work found there, with some information added from other books and websites.

China
India
The Middle East
Europe





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