KnowraVandermonde's identityLinked fromLinked fromThe 6 pages that link to Vandermonde's identity, each with the reason it gives.All 6Broader topic 1Related 2Compared with 3Binomial coefficientRelated: It counts selections from two disjoint groups by how many come from each.Binomial theoremRelated: It arises by comparing coefficients in the expansion of a product of two binomial powers.Combinatorial proofBroader topic: Choosing a fixed number of people from two groups gives a direct count of both sides.Pascal's ruleCompared with: It relates coefficients across different rows rather than just neighboring entries.Hockey-stick identityCompared with: It combines two coefficient sequences rather than summing one diagonal.Abel's binomial theoremCompared with: It rearranges binomial coefficients, whereas Abel’s theorem expands powers with shifted factors.