We examine the thermodynamic limit of fluids of hard core particles that ar
e polydisperse in size and shape. In addition, particles may interact magne
tically. Free energy of such systems is a random variable because it depend
s on the choice of particles. We prove that the thermodynamic limit exists
with probability 1, and is independent of the choice of particles. Our proo
f applies to polydisperse hard-sphere fluids. colloids and ferrofluids. The
existence of a thermodynamic limit implies system shape and size independe
nce of thermodynamic properties of a system.