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BMAT 2009 · Question 15 · Spatial

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Today is our villageís fundñraising Fun Day. This is the current state of the ìTreasure Huntî, in which entrants put their initials in their chosen square(s).

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I have just paid for two squares. I will choose two squares that do not touch each other or any of the squares already taken, either horizontally, vertically or diagonally. How many different pairs of squares are available to me?