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Question

Let R be an equivalence relation on a finite set A having n elements. Then the number of ordered pairs in R is


A

Less than n

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B

Greater than or equal to n

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C

Less than or equal to n

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D

None of these

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Solution

The correct option is B

Greater than or equal to n


Since R is an equivalence relation on set A,
Therefore(a,a) R for all aA. Hence, R has at least n ordered pairs.


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