In what problem you would use the multiplication principle? Select ALL that applies. A student can choose a computer project from one of three lists. The three lists contain 23, 15, and 19 possible projects, respectively. No project is on more than one list. How many possible projects are there to choose from? Suppose that either a member of the mathematics faculty or a student who is a mathematics major is chosen as a representative to a university committee. How many different choices are therefore this representative if there are 37 members of the mathematics faculty and 83 mathematics majors and no one is both a faculty member and a student? In any group of 27 English words, there must be at least two that begin with the same letter, because there are 26 letters in the English alphabet. Among any group of 367 people, there must be at least two with the same birthday, because there are only 366 possible birthdays. The chairs of an auditorium are to be labeled with an uppercase English letter followed by a positive integer not exceeding 100. What is the largest number of chairs that can be labeled differently? How many different bit strings of length seven are there?