In the frame of the asymptotic theory of nonadiabatic transitions Coulomb deexcitation of muonic hydrogen is considered. For the mixture of hydrogen isotopes the rates of charge exchange processes with deexcitation, direct and inverse, are calculated. The role of inverse quasiresonant charge exchange in the cascade is discussed. Direct quasiresonant charge exchange is shown to be compensated by the inverse process at the upper stage of the cascade. The rates of the muon transfer to helium are calculated.