Question

Let n(A) =m, n(B)=n,then the total number of non empty relations that can be defined from A to B is​

Answer 1

Answer:

We have, n(A) = m and n(B) = n

n(A xB) = n(A). n(B) = mn

Total number of relation from A to B = Number of subsets of AxB = 2mn

So, total number of non-empty relations = 2mn – 1

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