Step 1: Understanding the Concept
The number of unpaired electrons depends on the d electron count of the metal ion and on whether the ligand is weak field or strong field.
Step 2: Cobalt complexes
In \([\text{CoF}_6]^{3-}\) cobalt is \(\text{Co}^{3+}\) with \(3d^{6}\). \(\text{F}^{-}\) is a weak field ligand, so the complex is high spin with configuration \(t_{2g}^{4}e_g^{2}\), giving 4 unpaired electrons. In \([\text{Co(NH}_3)_6]^{3+}\), \(\text{NH}_3\) is strong field, so the complex is low spin \(t_{2g}^{6}\) with 0 unpaired electrons.
Step 3: Nickel complexes
In \([\text{NiCl}_4]^{2-}\), \(\text{Ni}^{2+}\) is \(3d^{8}\) in a tetrahedral, \(sp^3\) complex with 2 unpaired electrons. In \([\text{Ni(CN)}_4]^{2-}\), the strong field \(\text{CN}^{-}\) gives a square planar \(dsp^2\) complex with 0 unpaired electrons.
Step 4: Compare the options
Only \([\text{CoF}_6]^{3-}\) has four unpaired electrons.
Final Answer:
The complex with four unpaired electrons is [CoF6]3-.
\[ \boxed{\text{(A) }[\text{CoF}_{6}]^{3-}} \]