Methods for Constructing System of Different Representatives and Their Application

The article discusses ways to form a system of various representatives of subsets of a finite set. As a result, problems from the socio-economic field are presented, to which the conducted research can be applied. An algorithmization of the Hall method for searching for a system of different representatives has been carried out. Software was developed in MATLAB. A model for searching a system of various representatives in the form of an optimization problem about assignments has been developed.