Question

If n(A) = m and  n(B) = n, then find the total number of relations that exist between A and B.2mn(mn)22m2n

Solution

The correct option is A 2mnThe total number of relations that can be formed between two sets is the number of subsets of their Cartesian product. Here, n(A) = m and  n(B) =n ⇒ n(AXB)= mn Hence, Number of relations between A and B = 2mn NOTE: If n(A) = m, then the number of subsets of set A = 2m

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