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In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played

In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played ?

(a)

105

(b)

91

(c)

85

(d)

78

Explanation

If there are 14 teams in the tournament, each team will play against every other team once. To calculate the number of matches played, we can use the formula: total number of matches = n(n-1)/2 where n is the number of teams. Substituting n = 14, we get: total number of matches = 14(14-1)/2 = 14(13)/2 = 91 Therefore, a total of 91 matches will be played in the tournament.