High Quality Content by WIKIPEDIA articles! In the context of combinatorial mathematics, stars and bars refers to a trick used to derive certain combinatorial theorems.Suppose one has k objects (to be represented as stars; in the example below k = 7) to be placed into n bins (in the example n = 3), such that all bins contain at least one object; one distinguishes the bins (say they are numbered 1 to n) but one does not wish to distinguish the k stars (so configurations are only distinguished by the number of stars present in each bin; in fact a configuration is represented by a n-tuple of positive integers as in the statement of the theorem).

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