Students, each of whom comes from one of the 50 states, must be enrolled in a university to guarantee that there are at least 100 who come from the same state. Identify which of the following statement(s) is/are correct about the minimum number of students who must be enrolled to fulfill the given condition. (Check all that apply.) If there is no state with at least 100 students coming from that state, there can be at most 100 students coming from each state. Thus, the total number of students would be at most 50% 100. Thus, contrapositively, if there are at least 50 * 1001 - 5001 students, then there must be at least one state with at least 100 students coming from that state If there is no state with at least 100 students coming from that state, there can be at most 99 students coming from each state. Thus the totalmer of students would be at most 50 99. Thus, contrapositively, if there are at least 50 99.1 - 4951 students, then there must be at least one state with at least 100 students.coming from that state By the generalized pigeonhole principle, if students are placed into 50 boxes with states being the boxes then there is at least one box containing at least students. We want which is equivalent to ON 50X99. Since N is an integer, N-5099 imolles By the generalized pigeonhole principle, if students are placed into 50 bones with states being the one then the stone box containing att students. We want with is equivalent to or N 50X100. Since N is an integer, N. SO 100 Implies Na 50-100-1-5001