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7. A checker is placed on a checkerboard as shown. The checker may move diagonally upward. Although it cannot move into a square with an

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7. A checker is placed on a checkerboard as shown. The checker may move diagonally upward. Although it cannot move into a square with an X, the checker may jump over the X into the diagonally opposite square. X X a) How many paths are there to the top of the board? b) How many paths would there be if the checker could move both diagonally and straight upward

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