Cartesian product
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A Cartesian product is a mathematical operation that combines two sets by creating all possible pairs, where the first item in each pair comes from the first set and the second item comes from the second set. This concept is useful because it provides a systematic way to represent all possible combinations of elements from different groups, which has applications in mathematics, computer science, and logic.
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Cartesian product of the sets {x,y,z} and {1,2,3}
In mathematics, specifically set theory, the Cartesian product of two sets A and B, denoted A × B, is the set of all ordered pairs (a, b) where a is an element of A and b is an element of B. In terms of set-builder notation, that is