Inverse giant magnetoresistance ͑GMR͒ is obtained in multilayers alternating two ferromagnetic layers F 1 and F 2 with different asymmetry of spin scattering, ␣ 1 Ͼ1 and ␣ 2 Ͻ1. This is clearly demonstrated in the simple spin-valve system with perpendicular magnetization Fe 1Ϫx V x /Au/Co. With respect to Fe, the FeV alloys with xϭ0.18 and 0.29 exhibit an inversion of the spin scattering coefficients ͑␣ Fe Ͼ1, ␣ FeV Ͻ1͒ due to the change of the densities of states at the Fermi level. The inverse MR of FeV/Au/Co is studied as a function of FeV layer thickness and temperature and compared to calculations based on the Camley-Barnas model. The data show that the inverse GMR is due to the bulk scattering within the FeV layer, which coexists with a substantial interface scattering favoring normal GMR.