What we need to do to balance the equation:
ClO- + OH- + N2O4 → ClO2- + H2O + NO2-
Is to check that the number of atoms of each element before and after the reaction occurs is the same.
To do this, we could put the following coefficients in each compound: (Remember that we can change the coefficients but not the subscripts)
1 ClO- + 2 OH- + 1 N2O4 → 1 ClO2- + 1 H2O + 2 NO2-
Therefore, the correct answer option is:
1, 2, 1, 1, 1, 2