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Computer Science

Assertion (A): Cartesian product of two sets (A and B) is defined as the set of all possible ordered pairs denoted by (A + B).

Reasoning (R): The Cartesian product is also known as the cross product of two sets. The Cartesian product of two tables can be evaluated such that each row of the first table will be paired with all the rows in the second table.

  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and R are true but R is not the correct explanation of A.
  3. A is true but R is false.
  4. A is false but R is true.

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Answer

A is false but R is true.

Explanation
The Cartesian product of two sets A and B is defined as the set of all possible ordered pairs, denoted as A × B. It is also known as the cross product or cross-join of two sets. In the context of databases, the Cartesian product of two tables can be evaluated such that each row of the first table is paired with all the rows in the second table.

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