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Thirty six games were played in a footba...

Thirty six games were played in a football tournament with each team playing once against each other. How many teams were there?

Text Solution

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let the number of teams be n.
Then number of matches to be played in `.^(n)C_(2)=36`
`implies .^(n)C_(2)=(9xx8)/(1xx2)=.^(9)C_(2)`
`impliesn=9`
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