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Math Help - Results Pool

  1. #1
    bulan880
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    Results Pool

    There is a betting where you bet on football teams. There are three options available for every game played, 1, X or 2. 1 = win for home team, X = tie and 2 = win for visiting team.

    On every seies you bet on 13 teams: 1, X or 2.

    How many different series are there with exactly

    a) 11 "rights"
    b) n "rights", where 0<= n<=13
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  2. #2
    MHF Contributor

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    From the wording, it is not clear to me if we have 13 games and thus 26 teams; or if we have 13 teams and thus only six games?

    Let’s assume we have 13 games. So there is a string of 1’s, 2’s, or X’s that has length 13.
    If that is the case, there are 3^{13} possible different such strings.
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