KnowraStars and barsLinked fromLinked fromThe 8 pages that link to Stars and bars, each with the reason it gives.All 8Broader topic 2Related 5Compared with 1MultisetRelated: Its solutions correspond to multisets with prescribed total size.CombinationBroader topic: It transforms combinations with repetition into choices of separator positions.Multinomial coefficientCompared with: It counts distributions with variable group sizes, unlike fixed-size multinomial arrangements.Vandermonde's identityRelated: Binomial coefficients can count the selections underlying a combinatorial proof.Multinomial theoremRelated: It counts the exponent vectors indexing terms when the number of summands is fixed.Hockey-stick identityRelated: A related counting argument sums the number of ways to choose a fixed-size subset by its largest element.Combinatorial principlesRelated: It translates allocations into arrangements of objects and separators.Twelvefold wayBroader topic: It counts occupancy vectors when objects are indistinguishable and boxes are labeled.