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MathNet 2003 — Part 01 Question 138

Math Olympiad Vault · MathNet 2003 — Part 01

Question 138

Arrange $1\,650$ students in $22$ rows by $75$ columns. It is known that for any two columns, the number of occasions that two students in the same row are of the same sex does not exceed $11$. Prove that the number of boy students does not exceed $928$.