Question

Let $R$ be a reflexive relation on 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 correct option

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

The set$A$ consists of $n$ elements and for relation to be reflexive it must have at least $n$ ordered pairs.

$R$ has $m$ordered pairs.

Therefore, $m\ge n$.

Hence, the correct answer is Option (A).