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Omni-MATH / On a chessboard, a queen attacks every square it can reach by moving from its…

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problem

On a chessboard, a queen attacks every square it can reach by moving from its current square along a row, column, or diagonal without passing through a different square that is occupied by a chess piece. Find the number of ways in which three indistinguishable queens can be placed on an 8×88 \times 8 chess board so that each queen attacks both others.
Plain-text mathematical notation (without MathML)
On a chessboard, a queen attacks every square it can reach by moving from its current square along a row, column, or diagonal without passing through a different square that is occupied by a chess piece. Find the number of ways in which three indistinguishable queens can be placed on an 8×8 chess board so that each queen attacks both others.
Original LaTeX notation
On a chessboard, a queen attacks every square it can reach by moving from its current square along a row, column, or diagonal without passing through a different square that is occupied by a chess piece. Find the number of ways in which three indistinguishable queens can be placed on an $8 \times 8$ chess board so that each queen attacks both others.

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Source and history

task_id
31a45d02-9008-5ff5-931f-c5663a94863d
task_key
test--31a45d02-9008-5ff5-931f-c5663a94863d
task_revision_id
1
config / split
/ test

Official source

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