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MathNet 2004 — Part 01 Question 45

Math Olympiad Vault · MathNet 2004 — Part 01

Question 45

In a school there are $m$ boys and $j$ girls, $m \geq 1, 1 \leq j \lt 2004$.
Every student has sent a post card to every student. It is known that the number of the post cards sent by the boys is equal to the number of the post cards sent by girl to girl. Find all possible values of $j$.