  By studying symmetric mass textures for the up and down quark sectors, and
expanding in a small parameter $\lambda \sim sin\theta_C$, bounds are set on
entries commonly assumed to vanish. Consequences of a 2 + 1 family structure
which can result from horizontal symmetry are examined. Generalizing to
squarks, we study suppression of Flavor Changing Neutral Currents by mass
degeneracy and/or small mixing angles.
