<p>I have a math problem. can some one help??
we have 20 chess players. each plays 5 games with a different player. win gives 1 point, loss gives 0 points, draw gives 1/2 point. if player gets 3 points, player wins a trophy. what is a max number of players that can win the trophy.</p>
<p>can someone explain the answer in a simple term for me?
thank you</p>
<p>My math skills are so/so but my logic skills are pretty good…</p>
<p>Hey, are we supposed to be doing your hw for you? :D</p>
<p>Well, here is how I see it:
20 players playing 5 games. That is a total of 100 games.
BUT! It is really only 50 games, because each game is 2 players playing each other.
So, 50 games total, right?<br>
Every time a game is played, 1 point is earned, either by 1 player who wins, or the 1 point is shared by both in a tie.
Either way, 1 point is earned per game or a total of 50 points for the 50 games.
3 points are needed for a trophy, so the 50 points can be spread out among 16 players
(50 divided by 3 = 16 2/3). 16 players can get a trophy with 2 points remaining, which are not enough for a trophy.<br>
That’s my answer, which may or may not be correct.
If every game is a tie, then the 50 points are distributed evenly, and each of the 20 players earns 2.5 points each 1/2 pt times 5 games = 2.5, and NO trophies are awarded !</p>
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