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To find the total number of different possible schedules for Felicia to choose from, we multiply the number of sections for each class:
17 sections of English 102 * 9 sections of Spanish 102 * 12 sections of History 102 * 13 sections of College Algebra = 17 * 9 * 12 * 13 = 19836
Therefore, Felicia has 19,836 different possible schedules to choose from.