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February 27th, 2017, 08:12 AM   #1
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Fixtures Problem

In a competition for ten football teams, the league table after four matches was as shown. The fixture secretary had lost the actual results of these matches. Work out a possible set of results using the fixture list. Can you find more than one possible set of results from the fixtures satisfying the given league table?

https://i.stack.imgur.com/lyF7y.png
https://i.stack.imgur.com/tezUU.png

I don't understand the wording of this problem: do you also have to base your results from the league table? If not, isn't there an infinite number of possibilities if you only base them on the fixture table?
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March 1st, 2017, 11:33 AM   #2
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Since they only mention using the fixture table, can the number of wins, losses, draws, goals for and goals against be different? For the second question, since they mention that you have to base your results on the give table and use the fixtures, do you have to make sure that the ranking is same? The only way I can think of is to swap to results of home and away...
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