Inclusive multineutron and multiproton removal cross sections from 112 Sn and 104 Sn at relativistic energies have been measured. The data show two distinct regimes of the reaction process that depend on the nucleon evaporation cost of the final nucleus. This behavior is universal by regarding the mass or asymmetry of the initial system or target composition. A state-of-the-art cascade and deexcitation model reproduces the observed trend but systematically fails in reproducing cross sections for the removal of the more bound nucleon species. The fragmentation of a many-body bound system from the fast collision with an extra particle is a generic problem in areas as different as atomic physics through electron-induced ionization [1], nuclear physics through the nuclear fragmentation in spallation targets [2], or astrophysics through the ejection of rocks from gravitational rings after asteroid collisions [3]. This complex process depends a priori on the two-body interaction cross section, the geometry of the system, and the binding of its individual constituents. This multiparticle removal probability is challenging to predict to a high precision since it also depends on processes, such as the re-interaction of scattered components and the release of dissipation energy by statistical emission of particles, e.g., the ionization of atoms by energetic electrons is impacted by the Auger effect. Models for nuclear fragmentation have been numerous [4]. At kinetic energies larger than 100 MeV/nucleon, it is possible to accurately reproduce experimental fragmentation cross sections by modeling the reaction in two steps: intranuclear cascade (INC) followed by statistical deexcitation of the remnant nucleus [2]. Fragmentation results from the interplay of both processes [5]. In the case of one-nucleon removal, the proton-neutron asymmetry has recently demonstrated important limits of our treatment of direct reactions [6,7], and the role of evaporation in weakly bound nuclei has been questioned for deeply bound nucleon removal [8]. In this Rapid Communication, we present new fragmentation data from stable and unstable Sn isotopes at incident energies of ∼165 MeV/nucleon. We characterize these data by the difference in emission cost between the removed species and the other one, C = C removed − C other , where C n = S n is the neutron-evaporation cost, C p = S p + V c is the proton-evaporation cost, S n(p) is the neutron (proton) separation energy, and V c is the Coulomb barrier. We show that the ejection of identical nucleons presents two universal regimes that depend on the sign of C.Fast 104 Sn and 112 Sn beams at 155 and 173 MeV/nucleon, respectively, have been produced at the RIBF facility, operated conjointly by the RIKEN Nishina Center and the CNS of the University of Tokyo, by fragmentation of a 124 Xe primary beam of 0.5 e μA onto a 0.555 g/cm 2 9 Be production target. The secondary cocktail beams were composed of 104 Sn ( 112 Sn) at 25% (77%) purity. The achieved intensity of 104 Sn was 350 pps. Secondary targets w...