Tuesday, June 19, 2012

move the die

shown below is a die on the corner of the square board of 3x3 grid board. you are allowed to roll the die, a quarter turn over a bottom edge so that it moves to an adjacent square.
diagonal movement is not allowed.
any path you can choose.
what number of spots, when the die is resting on the square in the position indicated by dotted line , never appears on the top face of the die?


The clue : total of spots on the two opposite faces is SEVEN

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