Question:
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 ........ .
Solution:
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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