let n(a) = m and n(b) =n . Then total number of empty relation that can be defined from A to B is ......
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We have,n(A)=m and n(B)=n. n(A×B)=n(A).n(B)=mn. Total number of relation from A to B =Number of subsets of A×B=2^mn. So,total number of non-empty relations=2^mn-1.
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