Consider a set $\mathrm{A}=\{\mathrm{a},\mathrm{b},\mathrm{c}\}$ then which of the following statements is/are TRUE about the member of relations on the set ‘A’

 If a set A has m elements, then number of reflexive relations from A to A is 2^m(m-1)

 If a set A has m elements, then number of symmetric relations from A to A is  $2^{\frac{m\left(m+1\right)}{2}}$

 If a set A has m elements, then number of reflexive and symmetric relations from A to A is$2^{\frac{\mathrm{m}(\mathrm{m}-1)}{2}}$

 If a set A has m elements, then number of Equivalance relations from A to A is  

$\sum _{\mathrm{r}=1}^{\mathrm{m}} \frac{1}{\mathrm{r}!}\left({\mathrm{r}}^{\mathrm{m}}{-}^{\mathrm{r}}{\mathrm{C}}_1(\mathrm{r}-1{)}^{\mathrm{m}}{+}^{\mathrm{r}}{\mathrm{C}}_2(\mathrm{r}-2{)}^{\mathrm{m}}-----\right)$, respectively for the options A,B,C,D
Where $\mathrm{n}\left(\mathrm{A}\right)=\mathrm{m}=3$ (Here)