Question

В классе 28 учеников, которые сидят по двое за партами. Каждый день учитель пересаживает учеников так, чтобы все образовавшиеся пары были новыми (раньше рядом не сидели). Может ли он делать это в течение 27 дней?

Answer 1

Я думаю что можно если взять одного человека и содить по очереди ко всем.

Answer 2

Can the teacher rearrange the students in pairs for 27 days?

Yes, the teacher can rearrange the students in pairs for 27 days in a class of 28 students.

To ensure that all pairs are new and that no two students sit together more than once, the teacher needs to consider the number of possible pairs and the number of days available.

Let's break down the problem:

1. Number of students: 28 2. Number of pairs: Since each pair consists of 2 students, the number of pairs is half the number of students. In this case, it would be 28/2 = 14 pairs.

Now, let's consider the number of days available:

1. Number of days: 27

To determine if it is possible to rearrange the students in pairs for 27 days, we need to check if the number of pairs is greater than or equal to the number of days.

In this case, since we have 14 pairs and 27 days, it is not possible to rearrange the students in pairs for 27 days. There are not enough pairs to cover all the days.

Therefore, the teacher cannot rearrange the students in pairs for 27 days in this scenario.

Note: It is important to note that this answer is based on the assumption that the teacher needs to create new pairs every day and that no two students should sit together more than once. If the requirement is different, the answer may vary.