To determine the number of different ways the coach can choose the starters from a team of 12 players, we can use the combination formula:

n C r = n! / (r!(n-r)!),

where n is the total number of players on the team (12), and r is the number of players the coach needs to choose (5).

So the number of different ways the coach can choose the starters would be:

12 C 5 = 12! / (5! * (12-5)!) = 12! / (5! * 7!) = (12 * 11 * 10 * 9 * 8) / (5 * 4 * 3 * 2 * 1) = 792

Therefore, there are 792 different ways the coach can choose the starters from a team of 12 players.