Q. 135.0( 1 Vote )

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Answer :

Any relation on A is a subset of A×A.

A×A = {(a, a), (a, b), (b, a), (b, b)}

The subsets are.

{} empty set

{(a, a)}

{(a, b)}

{(a, a), (a, b)}

{(b, a)}

{(b, b)}

{(b, a), (b, b)}

{(a, a), (b, a)}

{(a, b), (b, a)}

{(a, a), (b, a), (b, b)}

{(a, a), (b, b)}

{(a, a), (a, b), (b, a)}

{(a, a), (a, b), (b, b)}

{(a, b), (b, a), (b, b)}

{(a, a), (a, b), (b, a), (b, b)}

Thus, there are 16 total relations.

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