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Let A = {1, 2, 3}. Then the total number of distinct relations that can be defined over A is

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Let A = {1, 2, 3}. Then the total number of distinct relations that can be defined over A is 

(A)  29 

(B)  6

(C)  8

(D)  None of these

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Best answer

Correct option (A) 29 

Explanation :

n (A x A) = n(A) .n(A).= 32 =9

So, the total number of subsets of A  X A is 29 and a subset of A X A is a relation over the set A.

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