In which one of the following combinations of hypersensitivity reactions are $\mathrm{B}$ cells involved?
a) Type I, but not types II, III, and IV hypersensitivity
b) Type IV, but not types I, II, and III hypersensitivity
c) Types I, II, and III, but not type IV hypersensitivity
d) Types II, III, and IV, but not type I hypersensitivity
e) $\mathrm{B}$ cells are involved in all types of hypersensitivity.