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Suppose A and B are two finite sets. If the number of relations that can be defined on A is 496 more than the number of number of relations that can be defined on B, then the elements is A =

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answer is 3.

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Detailed Solution

Suppose the number of elements in A is n and the number of elements in B is m. We have 2n2−2m2=496⇒2n2≥496⇒2n2≥512=29∴ n=3For n= 3, m = 2

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