A search, in $\mathrm{e^+e^-}$ collisions,
for chargino, neutralino, scalar lepton and scalar quark
pair-production is performed, without assuming R-parity
conservation in decays, in the case that only one of the 
coupling constants $\lambda_{ ijk}$ or $\lambda''_{ ijk}$
is non-negligible.
No signal is found in data up to a centre-of-mass energy
of 208 GeV. 
Limits on the production cross sections
and on the masses of supersymmetric particles  
are derived.