KnowraBinomial coefficientLinked fromLinked fromThe 58 pages that link to Binomial coefficient, each with the reason it gives.All 58Broader topic 10Related 40Narrower topic 5Compared with 3Binomial theoremBroader topic: Each expansion term is weighted by the number of ways to choose which factors contribute the second summand.CoefficientBroader topic: These coefficients weight terms in powers of a binomial, as in the binomial theorem.Pascal's triangleBroader topic: Each entry in row n is a binomial coefficient, generated from its two neighbors in the preceding row.Combinatorial proofBroader topic: Many identities become transparent when each side counts selections with different distinguished features.Hypergeometric distributionBroader topic: Combinations count favorable samples and all possible samples in its probability formula.Vandermonde's identityBroader topic: Each term in the identity is a product of two such counts.Yang HuiBroader topic: Its coefficients form the triangular arrangement associated with Yang Hui.Jia XianBroader topic: These numbers form the triangular arrangement associated with Jia Xian.Freshman's dreamBroader topic: The intermediate coefficients are multiples of p and therefore zero in characteristic p.Agrawal's conjectureBroader topic: Intermediate coefficients determine whether the polynomial identity holds.