Pascal's triangle

Also known as Khayyam's triangle, Khayyam-Pascal triangle, Yang Hui's triangle, Tartaglia's triangle

triangular array of the binomial coefficients in mathematics

AI overview

Pascal's triangle is a triangular arrangement of numbers where each number represents a binomial coefficient, which appears frequently in mathematics. It matters because these numbers have practical applications across probability, algebra, and combinatorics, making it a useful tool for solving problems involving combinations and expansions.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Image: Pascal triangle simplex numbers.svg

Show 1 more fact

Commons category: Pascal's triangle

Sources (1)

wikidata.org

via Wikidata · CC0

~40 min read

Article

In mathematics, Pascal's triangle is an infinite triangular array of the binomial coefficients which play a crucial role in probability theory, combinatorics, and algebra. In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in Persia, India, China, Germany, and Italy.

The rows of Pascal's triangle are conventionally enumerated starting with row