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

examrobotsa's picture
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 ?

question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,16,15,9,16,3,3

keywords: 

{'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]}

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.