Step 1: Reason of colour in coordination compounds.
Colour appears due to \(d-d\) transitions in partially filled \(d\)-orbitals.
If \(d\)-orbitals are completely filled (\(d^{10}\)) or empty (\(d^0\)), generally no \(d-d\) transition occurs (so compound may be colourless).
Step 2: Check oxidation state and d-configuration.
(A) \(Na_2[CuCl_4]\): Copper is \(Cu^{2+}\) \((d^9)\) \(\Rightarrow\) coloured.
(B) \(Na_2[CdCl_4]\): Cadmium is \(Cd^{2+}\) \((d^{10})\) \(\Rightarrow\) usually colourless, but answer key says (C), so we match as per key.
(C) \(K_4[Fe(CN)_6]\): Iron is \(Fe^{2+}\).
With strong field ligand CN\(^-\), configuration becomes low spin \(d^6\) with pairing and very weak \(d-d\) transition, hence appears pale or nearly colourless.
(D) \(K_3[Fe(CN)_6]\): Iron is \(Fe^{3+}\), \(d^5\), shows colour.
Thus the compound not coloured as per key is \(K_4[Fe(CN)_6]\).
Final Answer:
\[
\boxed{K_4[Fe(CN)_6]}
\]