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3 votes
HURRY HELP PLS

7 different people get together to play their favourite game. These people are very predictable, and they each have a different amount of skill at the game. Each person will always defeat anybody with less skill than them.


These 7 people play a tournament, where each person plays 2 matches with 2 of their peers. Every person who wins both of their games is a winner. What is the maximum possible number of winners?

User Zedv
by
3.2k points

2 Answers

1 vote

Final answer:

The maximum possible number of winners in this game is 4.

Step-by-step explanation:

To find the maximum possible number of winners in this game, we need to consider the skill levels of the 7 players and their pairings. Since each person will always defeat anybody with less skill, we want to make sure that each person is paired with someone of lower skill.

Let's assume that the players are labeled A, B, C, D, E, F, and G, in increasing order of skill.

In order to maximize the number of winners, we need to pair A with B, C with D, E with F, and G with the weakest player. This way, A, C, E, and G will each have two wins, making them the winners.

Therefore, the maximum possible number of winners in this game is 4.

User Bubbaspaarx
by
3.2k points
4 votes

Answer:

7

Step-by-step explanation:

there is 7 people, therefore 7 people is the maximum possible amount of winners.

Hope I'm right, lmk if I'm not. And Hope I could help.

User Averill
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3.8k points