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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

Answer:

(b)

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.