Combinatoric Analysis of Cell Partical Distribution (Algorithms and Standard Program Development)

<p align="center">Аnnotation.</p><p>In this work was conducted combinatorial and probabilistic analysis of particles in cells with restrictions on the level of filling cells. This refers to the study (assessment) scheme amounts outcomes, their probability distribution of outcomes modeling scheme. Studied in the research paper research is consideration of 4 layouts distinguishable (indistinguishable) particles to distinguishable (indiscernible) cells. Getting results in the thesis work implemented three methods: the method of recurrence relations, the method of generating functions, as well as the method of graphs. Consideration method graphs occupy a significant part in the thesis work. Whereby a simple way to calculate the probability of outcomes schemes graphic drawings. The paper provides an overview of the theoretical literature according to researches, develops algorithms enumerate all the outcomes of the corresponding circuits. Just schemes organize programs written in Wolfram Mathematica environment and block diagrams illustrating the principle of operation of programs.</p>