Final answer:
There are 576 ways to choose a starting lineup for the hockey team.
Step-by-step explanation:
To create a starting lineup, the coach needs one player in each position. There are 4 choices for the left winger, 3 choices for the right winger, 4 choices for the center, 3 choices for the left defense, 4 choices for the right defense, and 2 choices for the goalie. To find the total number of possible lineups, we multiply the number of choices for each position. Therefore, the number of ways the starting lineup can be chosen is 4 * 3 * 4 * 3 * 4 * 2 = 576 ways. So, the correct answer is A) 576 ways.