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### Question Asked by a Student from EXXAMM.com Team

** Q 2413201140. ** In a tournament, each of the participants was to play

one match against each of the other participants.

Three players fell ill after each of them had played

three matches and had to leave the tournament. What

was the total number of participants at the beginning,

if the total number of matches played was `75?`

**IAS 2006 Prelims **