Final answer:
There are 24 different 4-player pitching schedules the coach can choose for the baseball team, calculated using the concept of permutations where the order matters.
Step-by-step explanation:
The question asks how many different 4-player pitching schedules the coach can choose from given 4 pitchers. To determine this, we use the concept of permutations, since the order in which the pitchers are scheduled matters.
For the first game, there are 4 options for which pitcher could be selected. For the second game, there are 3 remaining pitchers, for the third game, 2 pitchers, and for the fourth game, 1 pitcher remains.
The total number of different schedules can be calculated by multiplying these numbers together:
4 × 3 × 2 × 1 = 24
Therefore, the correct answer is 24 different pitching schedules, which corresponds to option c).