We use a recently developed model of relativistic meson-exchange currents to compute the neutron-proton and proton-proton yields in $( u_mu,mu^-)$ scattering from $^{12}$C in the 2p-2h channel. We compute the response functions and cross sections with the relativistic Fermi gas model for different kinematics from intermediate to high momentum transfers. We find a large contribution of neutron-proton configurations in the initial state, as compared to proton-proton pairs. In the case of charge-changing neutrino scattering the 2p-2h cross section of proton-proton emission ({it i.e.,} np in the initial state) is much larger than for neutron-proton emission ({it i.e.,} two neutrons in the initial state) by a $(omega,q)$-dependent factor. The different emission probabilities of distinct species of nucleon pairs are produced in our model only by meson-exchange currents, mainly by the $Delta$ isobar current. We also analyze other effects including exchange contributions and the effect of the axial and vector currents.
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