Q.

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

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a

Less than ‘n’

b

Greater than or equal to ‘n’

c

Less than or equal to ‘n’

d

None of these

answer is B.

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Detailed Solution

Since R is equivalence relation, it is reflexive. so minimum number of ordered pairs in the set R is equal to the number of elements in the set AHence the number of ordered pairs of R is more than or equal to n
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Let R be an equivalence relation on a finite set A having ‘n’ elements. Then, the number of ordered pairs in R is