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
A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

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