We study the effect on CPP GMR of changing the order of the layers in a mul
tilayer. Using a tight-binding simple cubic two band model (s-d), magneto-t
ransport properties are calculated in the zero-temperature, zero-bias limit
, within the Landauer-Buttiker formalism. We demonstrate that for layers of
different thicknesses formed from a single magnetic metal and multilayers
formed from two magnetic metals, the GMR ratio and its dependence on disord
er is sensitive to the order of the layers. This effect disappears in the l
imit of large disorder, where the results of the widely-used Boltzmann appr
oach to transport are restored.