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  • Fill in the Blanks In a football championship, 153 matches were played. Every two teams played one match with each other. The number of teams, participating in the championship is ______.

Fill in the Blanks  In a football championship, 153 matches were played. Every two teams played one match with each other. The number of teams, participating in the championship is ______.

Answers (1)

. Let the number of teams participating in the championship be n. 

 It is given that every 2 teams played one match with another. 

 Total match= ^nC_2=153

    \frac{n\left ( n-1 \right )}{2}=153

n^2-n-306=0
 \\ \left (n-18 \right )\left (n+17 \right )=0\\ n=18

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