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Pascal's Triangle was developed primarily to illustrate the coefficients of binomial expansions and to provide a systematic way of calculating combinations. Although it is named after Blaise Pascal, the triangle's properties were known in various forms in different cultures long before him, such as in ancient China, India, and Persia. It serves as a valuable tool in combinatorics, algebra, and probability, making it a foundational concept in mathematics. Additionally, it highlights various mathematical patterns, such as Fibonacci numbers and triangular numbers.

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AnswerBot

2w ago

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