This article reveals the possibility of solving life situations with combinatorial coefficients and shows the practicality of applying formulas on the theory of probability and mathematical statistics. The solution of tasks with combinatorial coefficients consists mainly in the decomposition of these coefficients by the basic formulas and their manipulations.

The causes and conditions of crime in the modern world. Abstract. The article discusses the causes of crime, describes the main groups of causes of crime. The conditions of crime – related, necessary, sufficient – were revealed through a detailed study of the causes of the emergence of various types of crime. On the example of the activities of the Department of Internal Affairs of the city of Ekibastuz, a number of organizational and practical measures aimed at stabilizing the criminal situation in the Ekibastuz region are identified, and statistical data on the results of these measures are also presented. One of the results of the study of this problem is to increase the professional readiness of all the structures of the law enforcement system, to create the appropriate material and technical conditions for improving the means and methods of preemptive influence on economic crime as the material basis of crime.