A college offers 3 introductory courses in history 4 in scie

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

Since each choice affects the overall selection (overall selection is the product of unique choices), Total number of courses = product of unique choices = 3*4*3*4*2 = 288