Question

There are 16 teams and they are divided into 2 groups of 8 each. Each team in a group plays against one another on a round-robin basis. Two points are awarded for a win, one point for a tie and zero for a loss. The top four teams from each group will qualify for the next round i.e. round 2. In Round 2, each team of one group will play with each team of group two. At the end of the second round, the top four teams in terms of the points scored advance to the semi finals and the winners of the semi finals play the finals. In case of teams having the same number of wins, the team with better run-rate would be ranked ahead.

(Note: Write down all the key points which are mentioned in the questions.
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Total 16 teams
Two group - Each group having 8 teams.
Points - Win: 2, Tie / Draw: 1, Loss: 0
Top four from each group will go to the next round.(4 Matches)
Semi Finals (2 Matches), Final.)

i) What is the total number of matches played in the tournament?

a) 50
b) 56
c) 28
d) 75

Answer 1

28 matches might been played in the tournament.

Answer 2

Total 16 teams divided into two groups;  

Group I = 8 teams and Group II = 8teams  

Permutations and Combinations for Group I = 7+6+5+4+3+2+1 = 28  

Permutations and Combinations for Group II = 7+6+5+4+3+2+1 = 28  

Total = 56;  

Quarter finals = 4 matches  

Semifinals = 2 matches  

Final = 1 match  

Total = 56 + 4 + 2 + 1 = 63 matches