ক্রিকেট টুর্নামেন্ট


$12$ teams are playing in a cricket tournament. Two teams play three matches with each other; one in the home ground, one in the opponent's home ground and the third in a neutral ground. Every win counts for $1$ point and loss counts for $0$ points. The team with the most points is the champion. If more than one team has the same highest point, the are declared the champion jointly. How many teams at maximum can become champion?

Combinatorics  


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