2 Only 17 people enter a lottery, which offers a Grand Prize, a First Prize, a Second Prize, a Third Prize, a Fourth Prize, a Fifth Prize, and a Booby Prize, all of which must go to different people. How many outcomes are possible? I.e., in how many ways can the Prizes be awarded? I.e., in how many different ways can the following "Winners Form" be filled out? WINNERSIt! Grand Prize: First Prize: Second Prize: Third Prize: Fourth Prize: Fifth Prize: Booby Prize