A student planning her curriculum for the upcoming year must select one of four business courses, one of four mathematics courses, two of ten elective courses, and either one of four history courses or one of four social science courses. How many different curricula are available for her consideration?
To find the total number of different curricula available for the student's consideration, we need to multiply the number of options for each category.
First, let's calculate the number of options for each category:
Number of options for the business course = 4
Number of options for the mathematics course = 4
Number of options for the elective courses = 10 (since she needs to select 2 out of 10)
Number of options for the history or social science course = 4 (since she can only choose one)
Now, multiply the number of options for each category:
Total number of curricula = Number of options for business course * Number of options for mathematics course * Number of options for elective courses * Number of options for history or social science course
Total number of curricula = 4 * 4 * 10 * 4
Multiplying these numbers together, we get:
Total number of curricula = 640
Therefore, there are 640 different curricula available for the student's consideration.