in how many ways it is possible to choose two white square so that they lie in the same row or same column on a 8*8 chess board
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A chessboard contains 32 white squares, so you have 32 possible choices for the white square. Now in the same column or row of this square lie 8 black square which you can't choose, leaving 32−8=24 possible black squares to choose from. This yields a total of 32⋅24=768 possible choices.
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