KnowraPascal's ruleLinked fromLinked fromThe 4 pages that link to Pascal's rule, each with the reason it gives.All 4Related 4Binomial theoremRelated: This recurrence proves the expansion by induction on the exponent.Gaussian binomial coefficientRelated: A q-analogue recurrence computes Gaussian coefficients from smaller indices.Vandermonde's identityRelated: It provides an inductive route to Vandermonde's identity.Hockey-stick identityRelated: Repeatedly applying this recurrence makes adjacent terms cancel in a telescoping proof.