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Triple Crown

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  • 27-02-2012 10:33am
    #1
    moycullen14
    Registered Users Posts: 870 ✭✭✭


    One for the rugby fans.......

    Wales won the triple crown at the weekend, beating England in their 3rd of 5 6N matches. One of the commentators said that the match against England was a triple crown decider. I said, 'It's not because England can't win the triple crown today - they have still to play Ireland'. My son said 'That's a pity because if England had played Ireland, last week - having beaten scotland in the first week it would be a winner takes all triple crown match. I said that No, with a 6 team championship and every team playing each week it is not possible to have two teams playing each other for the triple crown in week 3.

    Am I right? What's the proof, either way?

    For the non rugby followers amongst you. The triple crown is a tournament within the 6N. It is competed for by Wales, Scotland, Ireland & England and is won by the team that beats the other 3 - Wales won it on Saturday beating England having already beaten Scotland and Ireland. It takes place during the 6 nations which also includes France and Italy. The 6N takes place over 5 weekends with each team playing each other once and there are 3 matches each weekend, 15 in total (6C2).


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    #2
    equivariant
    Registered Users Posts: 966 ✭✭✭equivariant


    Nice puzzle and yes you are right. If wales and England play a triple crown decider on week 3 then on weeks 1 and 2 none of the triple crown teams could have played France or Italy. This means that both France and Italy must have had a week off on one of first two weeks


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    #3
    MathsManiac
    Registered Users Posts: 1,595 ✭✭✭MathsManiac


    Leaving aside your puzzle, which is indeed interesting and cleverly answered by equivariant, you could argue that the commentator was correct in the following sense: the match did decide whether or not Wales would win the triple crown. That is, it was a triple-crown decider match for Wales. (Not a decider match between England and Wales winning the TC.)


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