Absolute multiple-ionization cross sections, of He Ne and 3), Ar and 3), Kr and 3), and Xe and 4) atoms have been determined for interactions with ions in the 1.0–3.5-MeV impact energy range. Special care was taken to obtain the slow recoil-ion detection efficiencies, by measuring the recoil ions in coincidence with the capture channel and comparing these results with absolute single measurements. Comparison is made with the data available in the literature. The present results are in good agreement with the previously published data in the case of the helium target, but some nonsystematic discrepancies appear for heavier targets.