It is shown that in the Bose-Fermi-Hubbard model which is used for a description of the ultracold atomic bosonfermion mixture in the optical lattice, the n B 2 restriction enables one to analyze a more general case of separated lobes Mott insulator in comparison with the case of n B 1 (hard-core bosons). It also showed that the restriction to no more than 2 bosons on site is enough to comprehend the structure of (µ, |t 0 |) diagrams at arbitrary n b values with an account of a possibility of the 1st order phase transition.