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Question: Answered & Verified by Expert
In a football championship, there were played 153 matches. Every team played one match with each other. The number of teams participating in the championship is
MathematicsPermutation CombinationJEE Main
Options:
  • A $17$
  • B $18$
  • C $9$
  • D $13$
Solution:
1609 Upvotes Verified Answer
The correct answer is: $18$
${ }^n C_2=153 \Rightarrow \frac{n(n-1)}{2}=153 \Rightarrow n=18$.

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