Question

Let A = {1, 2, 3} then total number of
element in AXA is
​

Answer 1

The number of elements in A is 3

The number of elements in A is 3Then the number of elements in the relation on A will be (3 * 3 )

ANSWER : 9

Answer 2

The total number of elements in A×A is 9.

Given,

The set A = {1, 2, 3}

To Find,

The total number of elements in the set A×A.

Solution,

The method of finding the total number of elements in the set A×A is as follows -

For set A, we can make another set A×A which contains all the possible ordered pairs of the elements of A. This set A×A is called the cartesian product of set A.

So, the set A×A = {(1,1),(1,2),(1,3),(2,1),(2,2),(2,3),(3,1),(3,2),(3,3)}.

So, the number of elements in the above set is 9.

Hence, the number of elements in A×A is 9.

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