Pascal's Triangle Calculator

Pascal's Triangle

Pascal's Triangle is a triangular array of numbers named after the French mathematician Blaise Pascal, who introduced it in the 17th century. It is constructed by starting with a single number 1 at the top, and then each subsequent row is formed by adding together the two numbers directly above it.

Pascal's Triangle has several interesting properties and applications in various fields of mathematics, including combinatorics, probability, algebra, and number theory. It is used to represent binomial coefficients, calculate combinations and permutations, expand binomial expressions, and solve problems in probability and counting. Additionally, it has connections to many other areas of mathematics, making it a versatile and important mathematical concept.

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Each number in Pascal's Triangle is the sum of the two numbers directly above it. The outermost numbers of each row are always 1, and each row starts and ends with 1.