Given below are two statements:
Statement $I:$ Ethene at $333$ to $343 \ K$ and $6-7 \ atm$ pressure in the presence of $AlEt_3$ and $TiCl_4$ undergoes addition polymerization to give $LDP$.
Statement $II:$ Caprolactam at $533-543 \ K$ in $H_2O$ through step growth polymerizes to give Nylon-$6$.
In the light of the above Statements,choose the correct answer from the options given below:

• A
  Both Statement $I$ and Statement $II$ are true.
• B
  Statement $I$ is false but Statement $II$ is true.
• C
  Statement $I$ is true but Statement $II$ is false.
• D
  Both Statement $I$ and Statement $II$ are false.