The pattern of numbers shown in the picture above has been studied for over 2,000 years by people all over the world. They are invaluable in the mathematical field of combinatorics, which is a fancy way of saying counting things. They are called the binomial coefficients because they are the numbers multiplying terms of the expansion of the binomial (a+b)n, which is a cornerstone of the study of algebra. The patterns and inter-relationships among the numbers fascinated people in ancient times, and are still essential today to the study of fields as modern as computer science.
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