1. In how many different ways can the letters of the word MANAGEMENT be arranged?

2. In a marketing survey of 200 people about headache relief options, 85 said they preferred Brand A, 72 said they preferred Brand B, and 27 said they preferred Brand C, while the remainder said they did not have any preferences and would typically purchase whichever brand was cheapest. What is the probability that a randomly selected participant does not have any preference about which brand of medication they choose for headache relief?