  The ground-state properties of the two-flavored mixture of a few attractive
fermions confined in a one-dimensional harmonic trap is studied. It is shown
that for slightly imbalanced system the pairing between fermions of opposite
spins has completely different features that in the balanced case. The fraction
of correlated pairs is suppressed by the presence of additional particle and
another uncorrelated two-body orbital dominates in the ground-state of the
system.
