Five Jet Production with Heavy Quarks at $e^{+}{e}^{-}$ Colliders

Heavy quark production in five jet events at $e^{+}{e}^{-}$ colliders is studied at tree level using helicity amplitudes. Total production rates for $2b3j$ and $4bj$ are given and compared with the corresponding results for massless quarks. The process $e^{+}{e}^{-}\to q\bar{q}gg\gamma$ which is the dominant contribution to $4j\gamma$ production is briefly discussed.