If A and B are two sets such that n (A) = 5 and n (B) =7, then the the total number of relations on A × B is ........ .

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Solution

n(A) = 5
n(B) = 7
Then total number of relation on A × B is 2^n(A).n(B)
= 2^5×7
i.e total number of relation on A × B = 2³⁵

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