An ordered pair is a pair of two objects, usually denoted , in which we consider the order of the two objects to be important. Thus, the ordered pair is different from the ordered pair . This should be contrasted with the notion of set (or multiset), in which we have . In general, we say two ordered pairs, and are the same if and only if and .
The notion of an ordered pair can be naturally extended to that of an ordered tuple.
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