1. { 5 points) A basketball team has 3 pure centers, 4 pure forwards, 4 pure guards and 1 swingman who can play either guard or forward. A pure position player can play only the designated position. If a team consists of 1 center, 2 forwards and 2 guards, how many possible lineups are there? 2. (10 points ) In the above problem, suppose, there are 2 swingmen now, and the coach can choose to play either or none (but not both) of them in any of the three positions. How many possible lineups are there now