Given below are two statements :
Statement $I$ : $[Co(NH_3)_6]^{3+}$ is a homoleptic complex whereas $[Co(NH_3)_4 Cl_2]^{+}$ is a heteroleptic complex.
Statement $II$ : Complex $[Co(NH_3)_6]^{3+}$ has only one kind of ligands but $[Co(NH_3)_4 Cl_2]^{+}$ has more than one kind of ligands.
In the light of the above statements,choose the correct answer from the options given below.

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