In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played?
Reviewed by Dalvoy
UPSC Civil Services preparation
- A105
- B91Correct
- C85
- D78
Explanation
To find the total number of matches in a league where every team plays every other team once, we use the combination formula for selecting 2 teams out of 14.
The formula is n times n minus 1 divided by 2.
In this case, n is 14.
So, the calculation is 14 times 13 divided by 2.
14 times 13 equals 182.
182 divided by 2 equals 91.
Therefore, 91 matches are played in total. Option B is the correct answer.
