Which of the following statements are correct?
$(A)$ Both $LiCl$ and $MgCl_2$ are soluble in ethanol.
$(B)$ The oxides $Li_2O$ and $MgO$ combine with excess of oxygen to give superoxide.
$(C)$ $LiF$ is less soluble in water than other alkali metal fluorides.
$(D)$ $Li_2O$ is more soluble in water than other alkali metal oxides.
Choose the most appropriate answer from the options given below.

• A
  $(A)$ and $(C)$ only
• B
  $(A)$, $(C)$ and $(D)$ only
• C
  $(B)$ and $(C)$ only
• D
  $(A)$ and $(B)$ only