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There are 8 football teams, each team may have a match with another team but only...

There are 8 football teams, each team may have a match with another team but only once. It is possible that one team doesn't need to take any games ( sort of like giving up the whole series. ) Now the question is: If only 20 matches happened, how many ways?

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Answer #1

The different pairs possible from 8 teams are 2 = 28

And we have given that only 20 matches happened

then 28 - 20 = 8, there are 8 different ways the one team doesn't need to take any games.

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