If A and B are two sets such that n (A) = 5 and n (B) =7,


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 ........ .


n(A) = 5 

n(B) = 7

Then total number of relation on A × B is 2n(A).n(B)

$=2^{5 \times 7}$

i.e total number of relation on $A \times B=2^{35}$

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