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Definition & Example

$$S = P_1 \sqcup P_2 \sqcup \dots \sqcup P_k, \quad P_i \cap P_j = \emptyset \text{ for all }i \neq j, \quad \emptyset \notin \mathcal{P}.$$

the 5 Set partitions of size 3
  {{1,2,3}}   {{1,2},{3}}   {{1,3},{2}}   {{1},{2,3}}   {{1},{2},{3}}

Additional information


Sage examples

Technical information for database usage

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