- Ambidentate ligands are ligands that can coordinate through two different donor atoms, such as NO\(_3^{-}\) and NCS\(^-\).
- CO\(_3^{2-}\), NO\(_3^{-}\), and NCS\(^-\) can act as ambidentate ligands, but CO\(_2^{2-}\) and ethylene diamine do not.
- Hence, the correct set that does not have ambidentate ligands is (4).
Thus, the correct answer is (4), CO\(_2^{2-}\), ethylene diamine, H\(_2\)O.