Binomial coefficient
id:
binomial-coefficient-177-13161125
title:
Binomial coefficient
text:
In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers n ≥ k ≥ 0 and is written. It is the coefficient of the xk term in the polynomial expansion of the binomial powern; this coefficient can be computed by the multiplicative formula
- = n × × ⋯ × k × × ⋯ × 1, which using factorial notation can be compactly expressed as
- = n! k!!. For example, the fourth power of
brand slug:
wiki
category slug:
encyclopedia
description:
Number of subsets of a given size
original url:
https://en.wikipedia.org/wiki/Binomial_coefficient
date created:
2001-11-24T03:27:12Z
date modified:
2024-09-04T16:44:40Z
main entity:
{"identifier":"Q209875","url":"https://www.wikidata.org/entity/Q209875"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/f/f6/Pascal%27s_triangle_5.svg","width":540,"height":389}
fields total:
13
integrity:
16