3. (12 points) The UNC women's basketball team has 12 players on its roster. The coach is going to pick two teams of five players each to play in a short scrimmage. Remember not to enter commas in your answers on Gradescope. 3.1. How many different groups of five players could be chosen for the first team? 3.2. Suppose a group of five players has already been chosen for the first team. How many different groups of players could be chosen for the second team? 3.3. If a scrimmage is two teams of five players each, how many different scrimmages are possible? 3.4. Say that a lineup is an assignment of one player to each of the five traditional positions: point guard, shooting guard, etc. How many different lineups could be formed for the first team? (We are ignoring the fact that some of these lineups would be unreasonable. For example, the tallest player is unlikely to play as a point guard.) 3.5. Suppose a lineup has already been set for the first team. How many different lineups are possible for the second team? 3.6. If a scrimmage is two lineups of five players each, how many different scrimmages are possible