  Using the generalized Pauli principle by adding particle labels to the usual
space and spin labels a symmetric Hamiltonian and a corresponding antisymmetric
wavefunction is constructed for systems of three baryons in the strangeness
sectors $S=-1$ and -2. Applications are the $\Xi NN-\Lambda\Lambda N$ and
$NN\Lambda -NN\Sigma$ systems.
  Minimal sets of generalized coupled Faddeev equations for breakup and
rearrangement operators as well as (possible) bound states are derived which
have the ordinary Pauli principle among identical particles built in. The
equations found confirm our previous sets of coupled Faddeev equations for
those systems whose derivation was carried through for distinguishable
particles and not using the generalized Pauli principle.
