Pascal's triangle

Pascal's triangle is an arrangement of numbers in the shape of a triangle, in which each number is the sum of the two numbers directly above it. The arrangement is closely related to the binomial theorem, and it shows the coefficients of a binomial expansion. For example, the numbers in the nth row represent the binomial coefficients of the nth term, and they are also used in calculating combinations. Pascal's triangle plays an important role in many areas of mathematics and serves as a basic tool in number theory and probability theory. It is visually attractive, and because each row and column has its own distinctive properties, it is an interesting subject of study in mathematics education.