Mock AMC 8 #1 - Problem 14

There are 3 music courses at a local university: theory, band, and strings. All students must take at least one music course, and are welcome to take more than one if they choose. Out of the 100 students, 48 take the theory course, 60 take the band course, and 36 take the strings course. If 6 students take all 3 music courses, how many students take at least 2 music courses?

(\textbf{A})\;38\quad(\textbf{B})\;32\quad(\textbf{C})\;40\quad(\textbf{D})\;30\quad(\textbf{E})\;36

Enter your answer as a capital letter.