In how many ways can one place 4 rooks on a chessboard so that they do not threaten each other? - Quora
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Some small pieces of statistics. Mixtral-8x7B-Chat(Mixtral finetune by Fireworks.ai) on Poe.com gets the armageddon question right. Not even 70Bs can get this(Surprisingly, they can't even make a legal hallucination that makes sense.).
combinatorics - In how many different ways can we place N identical rooks on a chess board WITHOUT CORNERS so that no two of them attack each other ( for N > 3)?
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combinatorics - How many different ways can we place 4 identical rooks on the following chess board - Mathematics Stack Exchange
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