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?

72

b. If a part-time student can afford to take only one introductory course, how many selections are possible?

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Solution

The problem involves determining possible course selections in two scenarios. a. A student takes one course in each area during her first semester. - There are 3 introductory courses in History. - There is 1 introductory course in Science. - There are 4 introductory courses in Mathematics. - There are 3 introductory courses in Philosophy. - There are 2 introductory courses in English. To find the number of course selections possible, multiply the number of choices in each area: \[ 3 \times 1 \times 4 \times 3 \times 2 \] \[ = 72 \] Therefore, the number of possible course selections is 72. b. A part-time student can afford to take only one introductory course. - Total number of introductory courses available is the sum of all courses offered: \[ 3 + 1 + 4 + 3 + 2 \] \[ = 13 \] Therefore, the number of possible course selections for a part-time student is 13.