Restrictions on where you might place the checkers


A standard checkerboard (and chessboard) is an 8  8 grid. In this problem you will suggest an n  n board. (a) How many manners can you place n checkers on an n  n board? Generalize your formula to k checkers on an nn board. Clari fication: You might place at most one checker per square, but there are no other restrictions on where you might place the checkers.

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Mathematics: Restrictions on where you might place the checkers
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