Question

A set of soccer matches is to be organized in a “round-robin” fashion, that is, every team plays a match against every other team once and only once. If a total of 45 matches are played, how many teams participated?

Answer 1

Answer:

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Step-by-step explanation:

14 teams participated, then the first team plays matches against the other 13 teams. The second team has already played against the first team, and so has to play matches against only the other 12 teams. In this manner, the second-last team has to play against only one team, and the last team has already played against all the teams. Thus, the total number of matches is

13 + 12 + ........ + 2 + 1 = 91 .

If 91 matches are totally played, then 14 teams participated.