Please show work. Will not be used to violate academic/honor code.
1. A baseball team has a 25-man roster. A batting order has nine people. How many different batting orders are there?
2. The Ohio lottery has a game called Pick 4 where a player pays $1 and picks a four-digit number. If the four numbers come up in the order you picked, then you win $2,500. What is your expected value?