The precise matrix solution of the linearized Usadel equations (see Ref. 1) for the multilayered superconductor(S)/ferromagnet(F) structures has given for arbitrary magnetization vectors of the ferromagnet layers and an arbitrary layer number. The dependences of the critical temperatures and the critical state functions versus directions of Flayer magnetizations had calculated for the Nb/Pd-like systems. Particularly, it has been shown that the channel for the superfluid triplet electron pairs (without the presence of the singlet component), can be realized in the thin S-layer of the S/F multilayer. It has been established that the variation of the angle between the magnetizations of neighboring F-layers from /2 to  implies the infilling of the thin S-layer, which is located between these F-layers, with the singlet electron pairs.