Total Number of Set Partitions/Examples/3/Illustration
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Example of Total Number of Set Partitions
Let a set $S$ of cardinality $3$ be exemplified by $S = \set {a, b, c}$.
Then the partitions of $S$ are:
- $\set {a, b, c}$
- $\set {a, b \mid c}$
- $\set {a, c \mid b}$
- $\set {b, c \mid a}$
- $\set {a \mid b \mid c}$