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Math Help - Can anyone help me this question?

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    Question Can anyone help me this question?

    35 teams enter a basketball competition. Assuming there are no replys or drawn games. How many games are played until there is a winner?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by kittycat View Post
    35 teams enter a basketball competition. Assuming there are no replys or drawn games. How many games are played until there is a winner?
    34 teams must lose and there is 1 loser per game, so 34 games are needed.

    RonL
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by CaptainBlack View Post
    34 teams must lose and there is 1 loser per game, so 34 games are needed.

    RonL
    well, that was easy
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    That's an great way to see it that I never thought about. Thanks, CaptainBlack.
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    Bar0n janvdl's Avatar
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    Quote Originally Posted by Jhevon View Post
    well, that was easy
    Yes, i quite agree.
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  6. #6
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    I am confused, this was a really simple problem
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by kittycat View Post
    35 teams enter a basketball competition. Assuming there are no replys or drawn games. How many games are played until there is a winner?
    Perhaps the question is supposed to be more like 'how many games does the winning team play"?

    In which case, since 35 is odd one team at the beginning moves on without playing. (I forget what the correct term for that is. Is it a "bye" or something?) So the first round eliminates \frac{36}{2} - 1 = 17 teams, leaving 18.

    The second round eliminates 9 teams, leaving 9 teams.

    The third round includes that "bye" thing (or whatever), so \frac{10}{5} - 1 = 4 teams are eliminated, leaving 6 teams.

    The fourth round eliminates 3 teams, leaving 3 teams.

    The fifth round includes a bye, so \frac{4}{2} - 1 = 1 team is eliminated leaving 2 teams.

    The sixth round is the final and eliminates 1 team.

    So the winning team plays 6 games.

    -Dan
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    Bar0n janvdl's Avatar
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    Quote Originally Posted by topsquark View Post
    Perhaps the question is supposed to be more like 'how many games does the winning team play"?

    -Dan
    Yes, that might be it. Although it really doesn't seem like it.

    Quote Originally Posted by kittycat
    How many games are played until there is a winner?
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by janvdl View Post
    Yes, that might be it. Although it really doesn't seem like it.
    I agree with you. I was just speculating that the original post may have been mistyped into a much simpler question. (Not that my question was much harder.)

    -Dan
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  10. #10
    Newbie servantes135's Avatar
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    a question tops, What if the winning team was one that had a bye?
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  11. #11
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by servantes135 View Post
    a question tops, What if the winning team was one that had a bye?
    Hmmm...

    I believe that a bye does technically count as a game, but you are right... they really didn't play did they? Then the answer to my question must vary between 3 and 6 games.

    Since this isn't a definite answer I suppose that means my thought is pointless. Ah well!

    -Dan
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