Question

In the next world cup of cricket there will be$12$ teams, divided equally in two groups. Teams of each group will
play a match against 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, when each team will play against the others once. Two top teams of this round will go to the final round, where they will play the best of three matches. The minimum number of matches in the next world cup will be

• A. $54$
• B. $53$
• C. $52$
• D. none of these

Answer 1

The correct option is B $53$

Solution-

Matches in first round = ${}^6{C}_2{+}^6{C}_2=30$

Matches in second round = ${}^6{C}_2=15$

Matches in semi finals = ${}^4{C}_2=6.$

final is best of there so if one term wins

first match and second match then there will

not be third match.

Total minimum matches = $30+15+6+2=53$.

$B$ is correct.