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Let $\Lambda_n^k$ denote the class of $(0,1)$ square matrices containing ineach row and in each column exactly $k$ 1's. The minimal value of $k,$ forwhich the behavior of the permanent in $\Lambda_n^k$ is not quite studied, is$k=3.$ We give a simple algorithm for calculation upper magnitudes of permanentin $\Lambda_n^3$ and consider some extremal problems in a generalized class$\Lambda_n(\alpha,\beta,\gamma),$ the matrices of which contain in each row andin each column nonzero elements $\alpha,\beta,\gamma$ and $n-3$ zeros.

Spectrum of permanent's values and its extremal magnitudes in $\Lambda_n^3$ and $\Lambda_n(\alpha,\beta,\gamma)$