  A 1-factor of a hypergraph $G=(X,W)$ is a set of hyperedges such that every
vertex of $G$ is incident to exactly one hyperedge from the set. A
1-factorization is a partition of all hyperedges of $G$ into disjoint
1-factors. The adjacency matrix of a $d$-uniform hypergraph $G$ is the
$d$-dimensional (0,1)-matrix of order $|X|$ such that an element $a_{\alpha_1,
\ldots, \alpha_d}$ of $A$ equals 1 if and only if $\left\{\alpha_1, \ldots,
\alpha_d\right\}$ is a hyperedge of $G$. Here we estimate the number of
1-factors of uniform hypergraphs and the number of 1-factorizations of complete
uniform hypergraphs by means of permanents of their adjacency matrices.
