Valid bishop chess moves

Probability Level 4

A bishop is placed in a square xx on a 8×88 \times 8 chessboard and then moves once, ending in the square yy. How many possible ordered pairs (x,y)(x,y) are there?

Details and assumptions

A bishop moves diagonally on a chessboard. The bishop cannot end on the same square it started, it must move to a different square.

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