The critical micelle concentration $(CMC)$ of a soap solution is $5 \times 10^{-4} \ mol \ L^{-1}$. Identify the correct statements about this solution.
$I$. The micelle is stable if the soap solution concentration is $10^{-7} \ mol \ L^{-1}$
$II$. The micelle is stable if the soap solution concentration is higher than $5 \times 10^{-4} \ mol \ L^{-1}$
$III$. Micelles are also known as associated colloids.

• A
  $I, II, III$
• B
  $I, II$ only
• C
  $I, III$ only
• D
  $II, III$ only