About teaching students to methods of solving problems by combinator



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 To test this hypothesis, students are encouraged to solve problems with specific content. For

example, the layout of a number of different letters one by one in envelopes or the number of

handshakes of a certain number of friends, etc.

 The process of studying methods for solving problems shows that the plot and plot of tasks are

different, but the solutions obtained are presented in the same way. So students are reduced to the

concept of factorial, that is, the product of the first numbers of the natural series n! = 1 · 2 · 3 ·. . .

(n-2) · (n-1) · n. and the notation n !. It is important to emphasize that in mathematics it is accepted

that 0! = 1. Then it is proposed to calculate the first few values 1! = 1, 2! = 1 · 2 = 2, 3! = 1 · 2 · 3

= 6, 4! = 1 · 2 · 3 · 4 = 24, etc.

From here, the students can discuss the following question: if the set consists of n different

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