Logic puzzles, riddles, & maths problems

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Can you tile a chessboard with two missing squares?

How many queens and knights can you place on a chessboard?

In how many ways can you place 8 queens on a chessboard?

Alice and Bob sit down, face to face, with a chessboard in front of them. They are going to play a little game, but this game only has a single knight... Who will win?