Methods and systems for achieving higher efficiencies and capacities in sorting feed material are described, such as for separating desirable “good” rock or ore from undesirable “bad” rock or ore in an unsegregated, unseparated stream of feed material. Higher efficiencies are achieved with combinations of multiple sensor/diverter cells in stages in a cascade arrangement. The number and combination of cells in the cascade may be determined through a priori characterization of probabilities involved in sensor/rock and rock/diverter interactions, and mathematical determinations of the optimal number and combination of stages based on this probability. Further, desired sorting capacities are achieved through addition of multiple cascades in parallel until the desired sorting capacity is reached.