We consider the charged exciton complexes of an ideal two-dimensional
electron-hole system in the limit of strong magnetic fields. A series
of charged multiple-exciton states is identified and variational and f
inite-size exact-diagonalization calculations are used to estimate the
ir binding energies. We find that, because of a hidden symmetry, bound
states of excitons and an additional electron cannot be created by di
rect optical absorption and, once created, have an infinite optical re
combination lifetime. We also estimate the optical recombination rates
when electron and hole layers are displaced and the hidden symmetry i
s violated.