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# In a foot ball championship,$153$ matches were played. Every two teams played one match with each other. The number of teams,participating in the championship is

$\begin{array}{1 1}(A)\;15\\(B)\;18\\(C)\;20\\(D)\;22\end{array}$

Can you answer this question?

## 1 Answer

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Toolbox:
• $c(n,r)=\large\frac{n!}{r!(n-r)!}$
Let number of teams =n
No of matches =$nC_2$
$nC_2=153$

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