On a chess board one white square is chosen at random. In how many ways can a black square be chosen such that it does not lie in the same row as the white square?
thank you!!
3 answers
2,002
2002? There are only 64 squares on the chess board.
if by "row" you mean in either direction (as a rook can move) then since there are 32 black squares available, and 8 of them are in the same row/column as the white square chosen, that leaves 24 available black squares to choose from.
if by "row" you mean in either direction (as a rook can move) then since there are 32 black squares available, and 8 of them are in the same row/column as the white square chosen, that leaves 24 available black squares to choose from.
Yes, but combine them all and all the different possible moves, that concludes it to 2,002