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General

Easy

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.

Hint:

### Cartesian product of A and B is denoted by A X B and it is defined as set og all ordered pairs (a, b) such that

## The correct answer is: A×B={(x,1),(x,2),(y,1),(y,2),(z,1),(z,2)}

### We have given the two sets A and B

And n( A)= 3

n(B) = 2

Therefore, n(AXB) = 3X2 = 6

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

It follows that the elements of

set A={x, y, z}

and B={1,2}

Hence,

A×B={(x,1),(x,2),(y,1),(y,2),(z,1),(z,2)}

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