Question

УМОЛЯЮ ВАС ПОМОГИТЕ КАК МОЖНО БЫСТРЕЕ. ЕСЛИ НЕ ЗНАЕТЕ НЕ ПИШИТЕ!!!! Турнир по шахматам проходит по следующей системе: каждый из 17 учеников школы «Белая ладья» должен сыграть один раз с каждым из 20 учеников школы «Черный слон», т.е. всего должно быть проведено 340 партий. В каждый момент времени проводится не более одной партии. После п партий болельщик Саша, который смотрел все партии и знает всех участников, воскликнул: «Я точно могу назвать одного из участников следующей партии!» При каком наименьшем п такое могло случиться?​

Answer 1

Ответ:

155

Пошаговое объяснение:

Answer 2

To solve this problem, we need to find the minimum number of games played (p) such that Sasha can accurately predict one of the participants in the next game. Let's break down the problem step by step.

Step 1: Calculate the total number of games played

We are given that each of the 17 students from the "White Rook" school must play against each of the 20 students from the "Black Bishop" school. This means that the total number of games played is the product of the number of students from each school: 17 * 20 = 340 games.

Step 2: Determine the maximum number of participants Sasha can identify

Since Sasha claims that he can accurately predict one of the participants in the next game, we need to determine the maximum number of participants he can identify at any given moment.

To do this, we can use the concept of the Pigeonhole Principle. The Pigeonhole Principle states that if you have more pigeons than pigeonholes, then at least one pigeonhole must contain more than one pigeon.

In this case, the pigeons represent the participants, and the pigeonholes represent the games. Since there are 340 games and 17 students from the "White Rook" school, there will be at least one game where two participants are from the "White Rook" school.

Therefore, Sasha can accurately predict at least one of the participants in the next game after 16 games have been played.

Step 3: Determine the minimum number of games required for Sasha's claim

To find the minimum number of games required for Sasha's claim, we need to consider the worst-case scenario. In the worst-case scenario, Sasha can only accurately predict one of the participants in the next game after 16 games have been played.

In this scenario, the first 16 games will not have any participants from the "White Rook" school playing against each other. However, in the 17th game, there will be at least one participant from the "White Rook" school. This will be the first time Sasha can accurately predict one of the participants in the next game.

Therefore, the minimum number of games required for Sasha's claim is 17 games.

Please let me know if you need any further clarification or assistance!