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Let A and B be two sets such that n(A) =...

Let A and B be two sets such that `n(A) = 3 and n(B) = 2`. If `(x , 1), (y , 2), (z , 1)`are in A `xx`B. find A and B. where x, y and z are distinct elements.

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To solve the problem, we need to find the sets A and B based on the given information about their cardinalities and the elements in the Cartesian product A × B. ### Step-by-Step Solution: 1. **Understand the Given Information:** - We know that the cardinality of set A, denoted as n(A), is 3. This means set A contains 3 distinct elements. - The cardinality of set B, denoted as n(B), is 2. This means set B contains 2 distinct elements. - We are given the ordered pairs: (x, 1), (y, 2), and (z, 1), which are elements of the Cartesian product A × B. ...
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