A method of organizing the educational process and knowledge control in large groups of students by issuing assignments from a large (almost unlimited) sample of options is proposed. The method of generating variants based on the last name, first name, patronymic of the student is shown. It is shown that a suitable sample of variants should be at least the square of the size of the stream/group. The possibility of accelerated verification of tasks with the help of functional connections in the space of answers, i.e., peculiar keys known to the teacher, is demonstrated. Separate examples of tasks important both in the methodological aspect and in terms of application in the spectrum of disciplines of the departments of applied mathematics are given.