First slide

Relations XII

Question

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

Easy

A

Less than n
B

Greater than or equal to n
C

Less than or equal to n
D

None of these

Solution

Since R is an equivalnece relation on set, therefore $(a, a) \in R$ for all $a \in A .$ Hence, R has at least n ordered pairs.

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