  Using King-Mitchie Models, we compute encounter rates between the various
stellar species in the globular clusters $\omega$ Cen, and 47 Tuc. We also
compute event rates for encounters between single stars and a population of
primordial binaries. Using these rates, and what we have learnt from
hydrodynamical simulations of encounters performed earlier, we compute the
production rates of objects such as low-mass X-ray binaries (LMXBs), smothered
neutron stars and blue stragglers (massive main-sequence stars). If 10\% of the
stars are contained in primordial binaries, the production rate of interesting
objects from encounters involving these binaries is as large as that from
encounters between single stars. For example, encounters involving binaries
produce a significant number of blue stragglers in both globular cluster
models. The number of smothered neutron stars may exceed the number of low-mass
X-ray binaries (LMXBs) by a factor of 5-20, which may help explain why
millisecond pulsars are observed to outnumber LMXBs in globular clusters.
