The correct statements about the compound $\mathrm{H}_{3} \mathrm{C}(\mathrm{HO}) \mathrm{HC}-\mathrm{CH}=\mathrm{CH}-\mathrm{CH}(\mathrm{OH})$
$\mathrm{CH}_{3}(\mathrm{X}) \mathrm{is} / \mathrm{are}$
(a) The total number of stereoismers possible for $\mathrm{X}$ is 6 .
(b) The total number of diastereomers possible for $X$ is 3 .
(c) If the stereochemistry about the double in $X$ is trans, the number of enatiomers possible for $X$ is 4 .
(d) If the stereochemistry about the double in $\mathrm{X}$ is cis, the number of enatiomers possible for $\mathrm{X}$ is 2 .