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 out how many course selections are possible if a student takes one course in each area, we multiply the number of courses available in each subject area. The college offers the following courses: - 3 in history - 1 in science - 4 in mathematics - 3 in philosophy - 2 in English The total number of selections is calculated by multiplying the number of courses in each area: \[ 3 \times 1 \times 4 \times 3 \times 2 \] Now, calculate the product step by step. First, multiply the first two numbers: \[ 3 \times 1 = 3 \] Next, multiply the result by the number of mathematics courses: \[ 3 \times 4 = 12 \] Then, multiply by the number of philosophy courses: \[ 12 \times 3 = 36 \] Finally, multiply by the number of English courses: \[ 36 \times 2 = 72 \] Therefore, there are 72 possible course selections.