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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 A×B, write A and B.

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Solution

Since (x, 1), (y, 2), (z, 1) are elements of A×B. Therefore,

x,y,zϵA and 1,2ϵB

It is given that n(A) = 3 and n(B) = 2

x,y,zϵA and n(A) = 3

A={x,y,z}

1,2ϵB and n(B) = 2

B={1,2}


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