1. This question has two parts. . In how many ways can the letters in MATHFINANCE be rearranged? (note that some letters repeat) - In how many ways can you make a 4-letter word out of the letters in FINTECH? In how many ways can you make a 4-letter word that start with H? (Letters can repeat and the word may not exist in the dictionary!) 2. A bag contains 30 buttons that are colored either blue, red or yellow. There are the same number of each color (10 each). A total 4 buttons are drawn from the bag. Compute the followings: - Find n(2). - The probability that at least 3 of them are red? - The probability that there is at least one of each color? 3. Suppose that a bank has given out two loans to Jack and Dan. The probability that Jack will default is twice the probability that Dan will default. There is no chance that they will both default, but the probability that at least one of them defaults is 0.4. What's the probability that Jack will default