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  • Let n(A) = m, and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is (a) mn                      (b) nm- 1                   (c) mn - 1                (d) 2mn- 1

Let n(A) = m, and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is
(a) mn                     
(b) nm- 1                  
(c) mn - 1               
(d) 2mn- 1

Answers (1)

Given data: n(A) = m & n(B) = n

Thus, n(AxB) = n(A).n(B)

                        = mn

Thus, 2^{mn-1} is the total no. of relations,

Therefore, opt (d) is correct.
 

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infoexpert21

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