  We have investigated the effect of the number of primordial binaries on the
relationship between the total number of detected binaries within globular
cluster and its collision rate. We have used simulated populations of binary
stars in globular clusters : primordial binaries and binaries formed through
gravitational interactions. We show that the initial number of primordial
binaries influences the relationship between the number of detected sources and
the collision rate, which we find to be a power law. We also show that
observing an incomplete sample provides the same results as those obtained with
a complete sample. We use observations made by XMM-Newton and Chandra to
constrain the formation mechanism of sources with X-ray luminosities larger
than 10^{31} erg/s, and show that some of the cataclysmic variables within
globular clusters should be primordial objects. We point out a possibly hidden
population of neutron stars within high mass globular clusters with a low
collision rate.
