  The particle number and energy fluctuations in the system of charged
particles are studied in the canonical ensemble for non-zero net values of the
conserved charge. In the thermodynamic limit the fluctuations in the canonical
ensemble are different from the fluctuations in the grand canonical one. The
system with several species of particles is considered. We calculate the
quantum statistics effects which can be taken into account for the canonical
ensemble fluctuations in the infinite volume limit. The fluctuations of the
particle numbers in the pion-nucleon gas are considered in the canonical
ensemble as an example of the system with two conserved charges - baryonic
number and electric charge.
