In the next world cup of cricket their will be 12 teams, divided equally in two groups. Teams of each group will play a match against each other. From each group 3 top teams will qualify for the next

Question

In the next world cup of cricket their will be 12 teams, divided equally in two groups. Teams of each group will play a match against each other. From each group 3 top teams will qualify for the next round. In this round each team will play against others once. Four top teams of this round will qualify for the semifinal round, where each team will play against the others once. Two top teams of this round will go into the final round, where they play one match. The minimum number of matches in the next world cup will be

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Answer:

3

Solution:

No. of matches in the first round $= 6 C_{2} + 6 C_{2}$

No. of matches in the second round $= 6 C_{2}$

No. of matches in the semifinal round $= 4 C_{2}$

Total $= 15 + 15 + 15 + 6 + 1 = 52$

TestHub · Accepted Answer

No. of matches in the first round = 6 C 2 ​ + 6 C 2 ​ No. of matches in the second round = 6 C 2 ​ No. of matches in the semifinal round = 4 C 2 ​ Total = 15 + 15 + 15 + 6 + 1 = 52

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