Question

В футбольном турнире участвовали команды A, B, C, D, E. Каждая команда сыграла с каждой ровно один раз. В каждой игре за победу давалось 3 очка, за ничью — 1 очко, за поражение — 0 очков. Известно, что по окончании турнира: все команды набрали разное количество очков; команда A набрала больше всех очков, хотя и проиграла команде B; команды B и C не проиграли ни одной игры; команда C набрала меньше очков, чем команда D. Сколько очков набрала каждая из команд? Быстрее помогите пожалуйста!!!!!!! Олимпиада

Answer 1

Ответ:

наш организм это прекрасно знает как лечить организм

Answer 2

Ответ:

12 очков

Объяснение:

Решение

Каждая команда провела 4 игры. Ясно, что первая команда один раз сыграла вничью, а остальные игры проиграла. Вторая имеет две ничьи и два поражения. Третья команда пять очков на одних ничьих набрать не могла, стало быть, она один раз выиграла, кроме того, у неё две ничьи и поражение. Четвёртая команда победила дважды (иначе она набрала бы не более 6 очков). Также у этой команды есть ничья и поражение. В итоге первые четыре команды выиграли 3 раза, а проиграли 7 раз. Однако число побед должно равняться числу поражений. Значит, 4 раза они проиграли пятой команде, и у той 12 очков.

Пример турнира с таким распределением очков: пятая команда выиграла у всех, четвёртая – у первой и второй, третья – у первой, а все остальные игры закончились вничью.

Answer 3

Problem Analysis

We are given that in a football tournament, teams A, B, C, D, and E played against each other exactly once. Each game awarded 3 points for a win, 1 point for a draw, and 0 points for a loss. We are also given the following information: - All teams scored different numbers of points. - Team A scored the most points, even though they lost to team B. - Teams B and C did not lose any games. - Team C scored fewer points than team D.

We need to determine how many points each team scored.

Solution

Let's analyze the given information step by step to determine the number of points each team scored.

1. All teams scored different numbers of points: - Since all teams scored different numbers of points, we can conclude that no two teams had the same number of wins, draws, and losses. Therefore, each team must have had a unique combination of wins, draws, and losses.

2. Team A scored the most points, even though they lost to team B: - This means that team A must have won more games and/or had more draws than team B. However, since team A scored the most points, they must have won more games than team B. - Team B did not lose any games, so they must have had a combination of wins and draws. - Since team A lost to team B, team B must have won at least one game.

3. Teams B and C did not lose any games: - This means that teams B and C must have had a combination of wins and draws, but no losses. - Since team B won at least one game, team C must have had a combination of wins and draws, but no wins.

4. Team C scored fewer points than team D: - This means that team D must have won more games and/or had more draws than team C.

Based on the above analysis, we can conclude the following: - Team A won the most games and scored the most points. - Team B did not lose any games and won at least one game. - Team C did not win any games and did not lose any games. - Team D won more games and/or had more draws than team C. - Team E's performance is not mentioned explicitly, but we can infer that they did not win the most games or score the most points.

Let's assign the number of wins, draws, and losses to each team and calculate the number of points they scored.

Calculation

- Team A: Let's assume they won 4 games, had 0 draws, and 0 losses. Therefore, they scored 12 points. - Team B: Since they did not lose any games, they must have won at least one game. Let's assume they won 3 games, had 1 draw, and 0 losses. Therefore, they scored 10 points. - Team C: Since they did not win any games and did not lose any games, they must have had all draws. Let's assume they had 0 wins, 4 draws, and 0 losses. Therefore, they scored 4 points. - Team D: Since they won more games and/or had more draws than team C, let's assume they won 2 games, had 2 draws, and 0 losses. Therefore, they scored 8 points. - Team E: Since their performance is not mentioned explicitly, we cannot determine the exact number of wins, draws, and losses. However, we know that they did not win the most games or score the most points.

Therefore, the number of points scored by each team is as follows: - Team A: 12 points - Team B: 10 points - Team C: 4 points - Team D: 8 points - Team E: Unknown

Please note that the above solution is based on assumptions made to satisfy the given conditions. There may be alternative valid solutions that satisfy the given conditions.

I hope this helps! Let me know if you have any further questions.