Question

Let $R$ be a reflexive relation of a finite set $A$ having $n$ elements and let there be $m$ ordered pairs in $R.$Then,

• A. $m\ge n$
• B. $m\le n$
• C. $m=n$
• D. None of these

Answer 1

The correct option is A

$m\ge n$

Explanation for the correct option

Finding the relation between $\mathrm{m}$ and $\mathrm{n}$.

Given, $R$ has $\mathrm{m}$ ordered pairs.

Since$R$ is reflexive relation on$A$, therefore $(a,a)\in R$ for all $a\in A.$
The minimum number of ordered pairs in $R$ is $n$.

Therefore, $m\ge n$.

Hence, the correct answer is Option (A).