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Question

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×B find A and B where x,y and z are distinct elements

Solution
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It is given that n(A)=3 and n(B)=2 and (x,1),(y,2),(z,1) are in A×B

We know that A= Set of first elements of the ordered pair elements of A×B
B= Set of second elements of ordered pair elements of A×B
x,y and z are the elements of A and 1 and 2 are the elements of B
Since n(A)=3 and n(B)=2 it is clear that A={x,y,z} and B={1,2}

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