# Queens on a Chessboard

Discrete Mathematics Level 4

A queen on an English chessboard is able to attack in the same row, column and diagonal. The probability that 2 randomly placed queens on an 8 by 8 chessboard will be able to attack each other can be expressed as $$\frac {a}{b}$$, where $$a$$ and $$b$$ are positive, coprime integers. What is the value of $$a + b$$?

Details and assumptions

The 2 queens will not be placed on the same square.

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