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Domino on chess board problem
- Thread starter umair
- Start date
Think about 1 file on a chess board. How many ways are there to have the domino cover 2 squares along the file?How many ways are there to place a domino on an 8x8 chess board so that it covers exactly 2 squares (not counting rotations)
I cant think of how to do this without drawing out a chess board and manually counting...any help please!
Can you answer the question now?
Perhaps another way to interpret what you said about rotation is that the domino may be either vertical or horizontal. How many ways for each orientation? Have you considered a single row or column? You don't have to MOVE the domino, just count how many ways it can be PLACED on the board.I mean you can move the domino along a single column or cover adjacent squares and then rotate it to cover the next column....
I'm still unsure...