Jumat, 17 September 2010

46th Polish Mathematical Olympiad Problems 1995

46th Polish Mathematical Olympiad Problems 1995 A1.  How many subsets of {1, 2, ... , 2n} do not contain two numbers with sum 2n+1?A2.  The diagonals of a convex pentagon divide it into a small pentagon and ten triangles. What is the largest number of the triangles that can have the same area?