The differential cross section for electron-induced neutron knockout in the reaction He-4(e, e' n)He-3 has been measured for the first time with a statistical accuracy of 11%. The experiment was performed in quasielastic kinematics at a momentum transfer of 300 MeV/c and in the missing-momentum range of 25-70 MeV/c. The comparison of the data with theoretical calculations shows an impressive increase of the cross section resulting from final state interaction effects. Specifically , the p-n charge-exchange process dominates the cross section in this kinematical regime.</p