Mathematics - SET AND RELATION Question with Solution | TestHub

$A=\{0,1,2,3,4,5\}$
$\mathrm{R}\equiv \{(0,3),(3,0),(0,4),(4,0),(1,3),(3,1),(1,4)$,
$(4,1),(2,3),(3,2),(2,4),(4,2),(3,3),(3,4),(4,3)$,
$(4,4)\}$
Total 16 elements
Not reflexive as $(0,0),\dots \dots ,(2,2)\notin \mathrm{R}$
Symmetric $\because \forall$ all a,b
$(a,b)\&(b,a)\in R$
Not transitive $\because (0,3),(3,1)\in R$
but $(0,1)\notin \mathrm{R}$
$\Rightarrow$ Only ${\mathrm{S}}_2$ correct