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in Sets, Relations and Functions by (29.4k points)
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Let A and B be two sets such that n(A) x B, find A and B, where x, y, z are distinct elements.

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Given : n(A) = 3 and n(B) = 2 

To find : distinct elements of set A and B 

Also, 

It is given that, 

{(x, 1), (y, 2), (z, 1)} A × B 

Set A has 3 elements whereas.

Set B has 2 elements. 

Also, 

A × B = {(a, b): a ∈ A and b ∈ B} 

Therefore, 

A ∈ {x, y, z} and B ∈ {1, 2}

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