what is cartesian product
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The Cartesian product X×Y between two sets X and Y is the set of all possible ordered pairs with first element from X and second element from Y: X×Y={(x,y):x∈X and y∈Y}.
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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 A\times B=\{\, \mid a\in A\ {\mbox{ and }}\ b\in B\, \}
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