A university library is preparing a display case of books written by faculty members. There are 25 new faculty books, but there is room for only 10 in the display case. Suppose 10 books are selected a

A. There are 25 books to choose from and only 10 can be displayed, so the number of different faculty book collections that can be displayed is the number of combinations of 10 books from a set of 25 books. This is calculated using the formula for combinations: C(25,10) = 3,268,760 different faculty book collections can be displayed. B. If 15 of the new books are from the College of Science and Technology, then there are 15 books from that college and 10 books from other colleges. The probability that all 10 displayed books are from the College of Science and Technology is the probability of selecting all 10 books from that college. This is calculated using the formula for combinations: C(15,10) / C(25,10) = 0.0011 or 0.11% So the probability is very low, only 0.11%. C. If none of the 10 displayed books are from the College of Science and Technology, then the probability of this happening by chance is the probability of selecting 10 books from the other 10 non-College of Science and Technology books. This is calculated using the formula for combinations: C(10,10) / C(25,10) = 0.000006 or 0.0006% This probability is extremely low, so it is highly unlikely that the selection process was random. There may have been some bias or non-random factors involved in the selection process. However, further investigation would be needed to confirm this suspicion.