In a double league tournament such as the IPL, a total of how many matches are played during the league phase if 7 teams participate?
(a) 42
(b) 45
(c) 54
(d) 58
Answers
Answer:
Explanation:
42
In a double league tournament such as the IPL, a total of how many matches are played during the league phase is 42 if 7 teams participate
Double league tournament
In League phase each team play with all other teams twice during league Phase.
Number of Teams are 7
A match has to be played between two teams
Number of ways two teams can be selected out of 7 teams is given by:
⁷C₂
= 7!/(5!.2!)
= 7 * 6 / 2
= 21
But Each team play with all other teams twice
Hence number of matches in league phase will be twice of 21
Matches played during the league phase = 2 x 21 = 42
Correct option is a) 42
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