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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
(Provided By a Student and Checked/Corrected by EXXAMM.com Team)