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In how many ways you can put three rooks on a chessboard so that no two of them are in same row ,column or diagonal.

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up vote 2 down vote accepted

This is OEIS A047659 "Number of ways to place 3 nonattacking queens on an n X n board."

http://oeis.org/A047659

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queen != rook (: – Douglas S. Stones Apr 15 '12 at 5:35
2  
@Douglas, that's as may be, but look at the original question, which asks the rooks not be on the same diagonal. For this problem, those rooks have been promoted to queens! – Gerry Myerson Apr 15 '12 at 6:47
    
Oops! You're right. – Douglas S. Stones Apr 15 '12 at 7:19
    
:) Thanks, Gerry, for pointing it out. – user1272 Apr 15 '12 at 7:58

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