Given below are two statements :
Statement I : \([Co(NH_3)_6]^{3+}\) is a homoleptic complex whereas \([Co(NH_3)4Cl_2]^+\) is a heteroleptic complex.
Statement II : Complex \([Co(NH_3)_6]^{3+}\) has only one kind of ligands but \([Co(NH_3)4Cl_2]^+\) has more than one kind of ligands.
In the light of the above statements, choose the correct answer from the options given below.
(1) Both Statement I and Statement II are true
(2) Both Statement I and Statement II are false
(3) Statement I is true but Statement II is false
(4) Statement I is false but Statement II is true