Eight pawns are placed at random on an 8 × 8 chessboard, with all configurations equally...

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Eight pawns are placed at random on an 8 × 8 chessboard, withall configurations equally likely. What is the probability of eachof these events:

1. The pawns are in a straight line. (Don’t forget thediagonals!)

2. All the pawns occupy white squares.

3. No two pawns share the same row.

4. Now two pawns share the same row or the same column.

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