For which of the following conditions the construction of a triangle is NOT possible?

$\left(\mathrm{i}\right)$ A triangle whose sides measure $8\mathrm{cm},4\mathrm{cm}$ and $12\mathrm{cm}$ can be possible.
$\left(\mathrm{ii}\right)$ It is possible to construct an angle of $67.5°$ using ruler and compass only.
$\left(\mathrm{iii}\right)$ It is possible to construct a $∆XYZ$ in which $\angle X=60°,\angle Y=100°$ and $\angle Z=20°$

         $\left(\mathrm{i}\right)$          $\left(\mathrm{ii}\right)$          $\left(\mathrm{iii}\right)$

$\left(\mathrm{A}\right)$   T            F              T
$\left(\mathrm{B}\right)$   F            F              F
$\left(\mathrm{C}\right)$  F            T              T
$\left(\mathrm{D}\right)$  T            T              F