Mathematics - Sets and Relations Question with Solution | TestHub

Let $R$ be the required relation $\mathrm{A}=\{(1,1)(2,2),(3,3)\}$ (i) $|\mathrm{R}|=3$, when $\mathrm{R}=\mathrm{A}$ (ii) $|\mathrm{R}|=5$, e.g. $\mathrm{R}=\mathrm{A}\cup \{(1,2),(2,1)\}$ Number of $R$ can be [3] (iii) $\mathrm{R}=\{1,2,3\}\times \{1,2,3\}$ Ans. (5)