In how many ways can one place 4 rooks on a chessboard so that they do not threaten each other? - Quora

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.).

Solved Rooks. (a) How many ways can you place n rooks on a

The Queen: Her strengths and weaknesses –

How many rooks can be placed on a chessboard so that no two rooks are attacking each other? - Quora

combinatorics - k non-attacking rooks on a chessboard with forbidden positions - Mathematics Stack Exchange

How to Become a Chess Grandmaster (in 11 Steps) - Chessable Blog

Fighting Chess: Annotated Game. Tony Berard versus Mark Bates, by Tony Berard, Board Games and Cards

On an 8 x 8 chess board, how many ways can a pawn and rook be placed so that the rook does not threaten the pawn? - Quora

In how many ways I can put n rooks in a k*k chess board so that none of them are in attacking position with one another? - Quora