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Question


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


Options:
A .   29 
B .   6
C .   8
D .   None of these
Answer: Option A
:
A

n ( A × A) = n(A)n(A) = 32 = 9 


So, the total number of subsets of A × A is 29 


and a subset of A × A is a relation over the set A . 



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