Tuesday, September 14, 2010

15th Canadian Mathematical Olympiad Problems 1983

15th Canadian Mathematical Olympiad Problems 19831.  Find all solutions to n! = a! + b! + c! . 2.  Find all real-valued functions f on the reals whose graphs remain unchanged under all transformations (x, y) → (2kx, 2k(kx + y) ), where k is real.