Wolfram Demonstrations Project

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

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

Contributed by: George Beck

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Small Set Partitions