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Small Set Partitions

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This Demonstration shows the partitions of the set into blocks, where and are small. For example, you could split into the blocks , , and . This is written compactly as .

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The number of ways of partitioning a set of elements into nonempty subsets (or blocks) is the Stirling number of the second kind, . The total number of ways to partition a set into blocks is the Bell number .

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Contributed by: George Beck (March 2011)
Open content licensed under CC BY-NC-SA

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