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of any two distinct sets in P is empty (that is ). The elements of P are said to be pairwise disjoint or mutually exclusive. See also mutual exclusivity.

The sets in are called the blocks, parts, or cells, of the partition. If then we represent the cell containing by . That is to say, is notation for the cell in which contains .

Every partition may be identified with an equivalence relation on , namely the relation such that for any

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