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Question

If n(A) = m and  n(B) = n, then find the total number of relations that exist between A and B.
  1. 2mn
  2. (mn)2
  3. 2m
  4. 2n


Solution

The correct option is A 2mn
The 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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