The article presents a possible variant of solving a problem, caused by the contradiction between the mass character of training and individual peculiarities of a separate student. The contradiction is resolved by the student’s use of several parallel channels of obtaining training information, each student having a unique set both the channels and their number. The article also demonstrates a possible resolution of the two diverse principles: 1) teacher’s control of the training process and 2) manifestation of student’s independence in the training process. The contradiction is resolved by means of the student’s independent choice of the most suitable for him/her training methods out of the wide list of possibilities, on condition that this list has been composed by the teacher and the process is controlled by the teacher within the «teacher – student tandem». Making use of socionics it was demonstrated that the elements, characterizing the mental state of the student, form a multidimensional space with the minimum number of dimensions, equal to 8, which makes it possible to define the minimum number of elements of diverse mental types multitude as 147456. Making use of combinatorics it was demonstrated that at the number of training channels lying between 35 – 60, the number of diverse variants of the training process realization can be as high as hundreds of trillions. The article also demonstrates that the use of parallel multi-channel method of obtaining training information provides for the most complete account of individual peculiarities and needs of each of the students. Mode of study most closely related to individual learning, the author seems to be optimal to obtain education. For the present time the main form of education is traditional school – lesson system of teaching, which for 400 years of its existence, has withstood many tests, but the important thing is that it is financially the most economical of all known systems. This is a very important factor in the preparation of many millions of pupils and students. Therefore, it is necessary to move on in search of a creative synthesis of two principles: school – lesson system and the maximum of the individual peculiarities of each student.