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Rook Placement (Posted on 2015-09-21) Difficulty: 3 of 5
We place 41 rooks on a 10 x 10 chessboard. Prove that one can choose five of them that do not attack each other.

*** Two rooks "attack" each other if they are in the same row or column of the chessboard.

Source: A problem appearing in Colorado Mathematical Olympiad.

No Solution Yet Submitted by K Sengupta    
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re: Detailed solution (SPOILER) | Comment 2 of 5 |
(In reply to Detailed solution (SPOILER) by Ady TZIDON)

Lots of unresolved LaTeX formulae there.
  Posted by Charlie on 2015-09-26 07:51:35

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