Soccer: A local high school soccer team has 20 players. However, only 11 players play at any given time during a game.
i. In how many ways can the coach choose 11 players?
ii. In how many ways can the coach choose a group of 4 midfielders, 3 defenders, 3 attackers, and 1 goalkeeper?
iii. Assume that one of the defenders can also play as an attacker. Now, in how many ways can the coach choose a group of 4 midfielders, 3 defenders, 3 attackers, and 1 goalkeeper?