List all partitions of the set. (a) (1,2) (b) [a, b, c)

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Mathematics

Eliezer Robertson

29 October, 09:11

List all partitions of the set. (a) (1,2) (b) [a, b, c)

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Clare Jones · Answer 1

Answer: Hello mate!

The partition of a set is defined as a partition of the set into a nonempty subset, where the set itself is a subset of himself, then the set is a partition of himself.

a) in this we have a set of two objects; A = (1,2) the partitions of this set are: (∅), (1), (2) and (1,2). Where (∅) is the null set.

b) Now we have a set of three objects; B = (a, b, c) the partitions of this set are: (∅), (a), (b), (c), (a, b), (a, c), (b, c), (a, b, c)