Step 1: List ambident ligands:
$\text{NO}_2^-$, $\text{SCN}^-$/$\text{NCS}^-$, and $\text{CN}^-$ (C or N). Oxalate, en, water and EDTA are not ambident.
Step 2: Scan the sets:
A: has $\text{NO}_2^-$. C: has $\text{NO}_2^-$. D: has $\text{NCS}^-$. B: oxalate, en, $\text{H}_2\text{O}$, none from the list.
Step 3: Pick:
Option B.
Final Answer:
Set B contains oxalate, en and water, none of which is ambident.
\[ \boxed{\text{(B) }\text{C}_2\text{O}_4^{2-}\text{, ethylene diamine, H}_2\text{O}} \]