Question 4

Eight teams participate in a tournament where each team plays against every other team exactly once. In a particular year, one team got suspended after playing 3 matches, due to a disciplinary issue. The organisers decided to proceed, nonetheless, with the remaining matches. The total number of matches that were played in the tournament that year is


Correct Answer: 24

The total number of matches played by all the teams will be = $$^8C_2=28$$ matches.

Now, one of the team members has been suspended after playing three matches. If they had not been suspended, they would have played seven games in total. Thus, the four matches played by this team won't be happening in the tournament further.

Thus, if the team is suspended after three matches, the total number of matches will be = $$28-4=24$$ matches.

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