3 Suppose that ID cards are made in the shape of an equilateral riangle, with n equidistant lines ruled parallel to each edge (on both sides of the card) and a hole punched in one of the small riangles so formed. If n is an odd number of the form 6m + 1 or 6m + 3 show that the number of ID cards which can be con- structed is (n+2)(n+3). What is the result when n = 6m+5?

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