To determine the correct order of the oxidation states of nitrogen in the given compounds NO, N_2O, NO_2, and N_2O_3, we need to find the oxidation state of nitrogen in each compound.
Now, we can arrange these oxidation states in increasing order:
Thus, the correct order of the oxidation states of nitrogen is N_2O < NO < N_2O_3 < NO_2, which matches the correct answer given.