Question

Мистер Фокс каждый вечер из 34 преподавателей назначает на дежурство 12 или 13 по своему усмотрению. Через какое наименьшее число дней может оказаться, что каждый из преподавателей выходил на дежурство одинаковое число раз

Answer 1

Решение в приложении.

Answer 2

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Answer 3

Minimum Number of Days for Each Teacher to Have the Same Number of Duties

To determine the minimum number of days it would take for each teacher to have the same number of duties, we need to find the least common multiple (LCM) of 12 and 13. The LCM is the smallest positive integer that is divisible by both 12 and 13.

The LCM of 12 and 13 is 156. Therefore, it would take a minimum of 156 days for each teacher to have the same number of duties.

Please note that this calculation assumes that the duties are assigned in a cyclical pattern, with each teacher taking turns in a consistent order. If the duties are assigned randomly or in a different pattern, the minimum number of days required may vary.