define Cartesian product
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In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs where a is in A and b is in B. In terms of set-builder notation, that is {\displaystyle A\times B=\{\mid a\in A\ {\mbox{ and }}\ b\in B\}.}
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A Cartesian Product is defined on an ordered set of sets. It is the set of all possible ordered combinations consisting of one member from each of those sets. ... Each tuple is itself an ordered set, and all the tuples defined on a given Cartesian Product have the same number of members...
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