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Question

Question: In a football championship, there were played 153 matches. Every team played one match with each oth...

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.

A

17

B

18

C

9

D

13

Answer

18

Explanation

Solution

nC2=153n(n1)2=153n=18nC_{2} = 153 \Rightarrow \frac{n(n - 1)}{2} = 153 \Rightarrow n = 18.