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

** Q 2433634542. ** In a carrom board game competition, `m` boys and `n`

girls `(m > n > 1)` of a school participate in which every

student has to play exactly one game with every other

student. Out of the total games played, it was found

that in `221` games one player was a boy and the other

player was a girl.

Consider the following statements:

1. The total number of students that participated

in the competition is `30`.

2. The number of games in which both players were

girls is `78`.

Which of the statements given above is/are correct?

**IAS 2009 Prelims **