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Question

Let R be a reflexive relation on finite set A having nelements, and let there be mordered pairs in R. Then

A
mn
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B
mn
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C
m=n
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D
Relation between m and n cannot be determined.
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Solution

The correct option is A mn
Since R is a reflexive relation on A, therefore (a,a)R for all aA.
So, the minimum number of ordered pairs in R for it to be reflexive is n.
Hence, mn

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