  We investigate the fate of bottom quarks produced in heavy-ion collisions at
RHIC. Examining both the direct capture of a charmed quark, and multi-step
processes, where the B_c meson is formed in a sequence of quark capture and
exchange reactions, we find: a) that a sufficiently high number of B_c's will
be produced to generate a detectable tri-lepton signal, and b) that the
production rate of B_c's is highly sensitive to the properties of the
deconfined source. A flavor-independent potential model, which includes color
screening effects, is used to study the propagation of a B_c in a quark-gluon
fireball and to compare this behavior with that of J/Psi mesons.
