We report new STAR measurements of mid-rapidity yields for the Λ, Λ, K 0 S , Ξ − , Ξ+ , Ω − , Ω+ particles in Cu+Cu collisions at √ sNN = 200 GeV, and mid-rapidity yields for the Λ, Λ, K 0
Sparticles in Au+Au at √ sNN = 200 GeV. We show that at a given number of participating nucleons, the production of strange hadrons is higher in Cu+Cu collisions than in Au+Au collisions at the same center-of-mass energy. We find that aspects of the enhancement factors for all particles can be described by a parameterization based on the fraction of participants that undergo multiple collisions.