  The single and multiple electron loss of fast highly charged projectiles in
the collisions with neutral molecules are studied within the framework of a
nonperturbative approach. The cross sections for single, double, and triple
electron losses are calculated for the collision system $Fe^{q+}\to N_2$
($q$=24, 25, 26) at the collision energies 10, 100, and 1000 MeV/u. The effects
caused by the collision multiplicity and the orientation of the axis of target
molecule are treated. It is shown that collision multiplicity effect leads to
considerable differences for the cases of perpendicular and parallel
orientations of the molecular axes with respect to the direction of the
projectile motion, while for chaotic orientation such effect is negligible.
