Final answer:
The student has 756 different curricula available for her consideration.
Step-by-step explanation:
To find the number of different curricula available for the student's consideration, we need to multiply the number of options for each course. The student must select one of three business courses, one of four mathematics courses, two of nine elective courses, and either one of four history courses or one of three social science courses.
Therefore, the total number of different curricula available is 3 x 4 x 9 x (4 + 3) = 3 x 4 x 9 x 7 = 756 different curricula.