  A way of counting free parameters in the quark mass matrices of the standard
model, including the constraints coming from weak basis transformations, is
presented; this allow to understand the exact physical meaning of the parallel
and non-parallel texture zeros which appear in some "ans\"{a}tz" of the
$3\times 3$ quark mass matrices, including the CP violation phenomena in the
analysis, it is shown why the six texture zeros are ruled out. Finally, a five
texture zeros "ans\"{a}tze" which properly copes with all experimental
constrains, including the angles of the unitary triangle, is presented.
