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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 a n d 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 identify the sets A and B based on the given information about their elements and the Cartesian product A × B. ### Step-by-Step Solution: 1. **Identify the elements of the Cartesian product**: We are given that the pairs \((x, 1)\), \((y, 2)\), and \((z, 1)\) are in the Cartesian product \(A \times B\). This means that the first element of each pair belongs to set A and the second element belongs to set B. 2. **Determine the elements of set A**: From the pairs, we can see that the first elements are \(x\), \(y\), and \(z\). Since \(x\), \(y\), and \(z\) are distinct elements, we can conclude that: \[ ...
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