Question: A college offers 3 introductory courses in history, 1 in science, 4 in mathematics, 3 in…

A college offers 3 introductory courses in history, 1 in science, 4 in mathematics, 3 in philosophy, and 2 in English. … a. If a student takes one course in each area during her first semester, how many course selections are possible?

Solution

To find the total number of course selections possible, we need to take one course from each area. The number of courses available in each area are as follows: - History: 3 courses - Science: 1 course - Mathematics: 4 courses - Philosophy: 3 courses - English: 2 courses The total number of course selections is found by multiplying the number of courses available in each area. So, the calculation is: \[ 3 \times 1 \times 4 \times 3 \times 2 \] Calculating step by step: \[ 3 \times 1 = 3 \] \[ 3 \times 4 = 12 \] \[ 12 \times 3 = 36 \] \[ 36 \times 2 = 72 \] Therefore, there are 72 possible course selections.