When small concentrations of A-b-B diblock copolymer are mixed with A homop
olymer or selective solvent, they often form spherical micelles with cores
comprised of the B blocks. Simple mean field calculations predict that rela
tively low molecular weight B homopolymer can be solubilized within the cor
es, up to a threshold concentration which depends on molecular weight. Thes
e predictions are consistent with electron microscopy studies. In this pape
r, we present a Monte Carlo study of these systems. The results are in qual
itative agreement with the phase behavior predicted by mean field theory an
d observed in the experiments.