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Question

The _______ of two sets A and B is the set of all those pairs whose first coordinate is an element of A and the second coordinate is an element of B. The set is denoted by A×B .

A
Graph
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B
Cartesian product
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C
Product
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D
Super set
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Solution

The correct option is B Cartesian product

The cartesian product of two sets A and B is the set of all those pairs whose first coordinate is an element of A and the second coordinate is an element of B. The set is denoted by A × B .

A cartesian product is a mathematical operation that returns a set from multiple sets. That is, for sets A and B, the cartesian product A * B is the set of all ordered pairs (a, b) where a A and b B. Products can be specified using set builder notation,

A table can be created by taking the cartesian product of a set of rows and a set of columns. If the cartesian product rows × columns is taken, the cells of the table contain ordered pairs of the form.



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