There are 16 teams divided in 4 groups. Every team from each group will play…
2025
There are 16 teams divided in 4 groups. Every team from each group will play with each other once. The top 2 teams will go to the next round and so on the top two teams will play the final match. Minimum how many matches will be played in that tournament?
- A.
45
- B.
40
- C.
41
- D.
43
Attempted by 223 students.
Show answer & explanation
Correct answer: D
Answer: 43
Step-by-step reasoning:
First round: 16 teams divided into 4 groups of 4. In each group the number of matches is C(4,2)=6, so total = 6 × 4 = 24 matches.
Second round: Top 2 from each group (8 teams) are placed into 2 groups of 4. Each group has 6 matches, so total = 6 × 2 = 12 matches.
Third round: Top 2 from each of those groups (4 teams) form a single group of 4, playing C(4,2)=6 matches.
Final: Top 2 teams from the previous round play 1 match.
Total matches = 24 + 12 + 6 + 1 = 43.
This gives the minimum number of matches under the described progression (groups of 4, top 2 advance each round).