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| 1. |
Twenty-eight games were played in a football tournament with each teamplaying once against each other. How many teams were there? |
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Answer» Let number of teams be n. Number of matches to be played = number of ways two teams can be selected `= .^(n)C_(2)=28` `therefore (n(n-1))/(2)=28` `implies n^(2)-n-56=0` `implies (n-8)(n+7)=0` `implies n=8 " as" n ne -7`. |
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