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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