Q: 9 (IAS/2010)In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played ?105 9185780100100460410201990-20002001-20102011-2022many matches league matches teams team other teamKeyword HeatmapAnyChart Trial Versionquestion_subject: Logic/Reasoningquestion_exam: IASstats: 0,16,15,9,16,3,3keywords: {'many matches': [0, 0, 1, 0], 'league matches': [0, 0, 1, 0], 'teams': [0, 0, 4, 6], 'team': [0, 0, 4, 1], 'other team': [0, 0, 2, 0]} 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. Please login to bookmark this question