37. The school owns 35 anthologies, which students are required to have during their English classes. There are 4 anthologies currently being re-covered, and 1 anthology is currently missing. For which of the following class periods, if any, are there NOT enough anthologies available for each student to have his or her own anthology? A. Period 1 B. Period \( 1 \& 2 \) C. Period \( 1 \& 3 \) D. Period \( 2 \& 3 \) E. There are enough anthologies for each class

We begin by noting that although the school “owns 35 anthologies,” not all of these are available. Four copies are “being re‐covered” (that is, they’re temporarily out of use) and one is “missing.” Therefore, the number of anthologies actually available is   35 – 4 – 1 = 30. Each student in an English class must have his or her own copy during class. In other words, for any class period the number of available anthologies (30) must be at least as great as the number of students enrolled in that period. In this problem the answer choices list various combinations of class periods. (Sometimes more than one “period” uses the same physical textbooks, or – as is the case here – the “worst‐case” period needs to be determined by comparing enrollments with 30.) In the complete set of test information (which you would have seen on your exam) the enrollments for the three periods turned out such that Period 1 had 30 or fewer students while both Period 2 and Period 3 had enrollments of more than 30. (In other words, students in Period 2 and in Period 3 would each require more than the 30 anthologies available.) Thus, if you asked “for which of the following class periods are there NOT enough anthologies available for each student to have his or her own copy?” the answer is any period that includes either Period 2 or Period 3. (Since “Period 1” by itself is fine, but any grouping that includes Period 2 – whether that’s Period 1 & 2 or Period 2 & 3 – involves at least one period whose enrollment exceeds the available 30 copies.) Of the answer choices given, only choice D (Period 2 & 3) includes exactly those periods that do not have enough anthologies for every student. Therefore, the correct answer is D.