  The Glauber-Sudarshan P-representation is well-known within quantum optics,
and is widely applied to problems involving photon statistics. Less familiar,
perhaps, is its fermionic counterpart. We present a derivation of both the
bosonic and fermionic distributions and, in doing so, demonstrate the reason
for the existence of two distinct fermionic forms and the relationship between
these. We consider both single mode systems and also multiparticle systems with
many modes. For simplicity only one type of boson or fermion will be
considered.
