Polythermal sections of the constitution diagrams of the Cr-Fe-C system along the ray Cr3C2-Fe have been first constructed. It is shown that the interaction in the system Cr3C2-Fe is described by a series of phase transformations of the higher carbide Cr3C2 into Cr7C3 and is accompanied by the formation of complex carbides of the type (Cr, Fe)(7)C-3 and (Cr, Fe)(23)C-6. The phase ratios of alloys of the system Ni-Cr-Ti-C in the range of compositions (at. %) (11.8-60.8)Cr - (3.2-47.2)Ti - (36-41)C - balance Ni were investigated. It has been established that the chromium carbide Cr3C2 dissolves 2-2.5% Ti and up to 1% Ni, and the chromium carbide Cr7C3 dissolves about 2% Ti and up to 10% Ni. Chromium dissolves in TiC in quantities of about 20 at. %, which leads to decreases in the microhardness and microbrittleness of the complex carbide (Ti, Cr)C by 18-20%. As a result of investigations, the compositions of the alloys were optimized, and new wear- and corrosion-resistant alloys were developed.