Step 1: Concept
Total electrons in $NO^+$ = $7 (\text{N}) + 8 (\text{O}) - 1 (\text{charge}) = 14$ electrons.
Step 2: Meaning
14 electrons correspond to the same electronic configuration as $N_2$.
Step 3: Analysis
In Molecular Orbital Theory, a 14-electron system has a Bond Order of 3.
Step 4: Conclusion
Hence, correct answer is 3.
Final Answer: (A)