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.

Answer 1

The number of elements in set A is 3.

n( A )=3

The number of elements in set B is 2.

n( B )=2

The Cartesian product of A×B is,

A×B={ ( x,1 ),( y,2 ),( z,1 ) }

In the Cartesian product, all the first elements should be from set A and all the second elements should be from set B.

Thus, set A={ x,y,z } and set B={ 1,2 }.