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Regular version of the site

Book chapter

Division of a population of elements into a given number of discernible parts

P. 282-290.
Enatskaya N.

Two statements of the problem for the division of a population of elements into a given number of discernible parts with and without limitations applied to their dimensions or compositions are distinguished. Under conditions of these statements, the problem under consideration with varying quality of elements by their discernibility is resolved in the following aspects (sub-problems): explicit enumeration of the results of element division schemes, determination of their total quantities, the problem of result indexing in the basic permutation schemes with repetitions, calculation of probabilistic distributions of all possible results and their modelling in the division schemes under study.