Question

There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?

• A. 15
• B. 6
• C. 28
• D. 56
• E. 64

Answer 1

Answer: (C)

28

Matches played between 8 teams =$7+6+5+4+3+2+1=21$

In these 8 matches, 4 winners will emerge.

So, total number of matches between these 4 winners = $3+2+1=6$

Two winners will emerge from these 4 winners who will play the final match.

so, total matches played in the tournament = $21+6+1=28$ (option C)