Problem 2 [24 pts]: Walls Have Eyes For each of these problems, write down. the pemutation/combinetion expression. You do not have to simplify. For example P(5, 2) + (g) is a valid answer. The College of Xenobiology has 28 faculty members: 0 10 F111] Professors o 12 Associate Professors o 6 Assistant Profesors Five of the professors are women and 23 are non-binary. Among the professors are: a 1 Dean (full professor, female) o 2 Associate Deans (full professors, one non-binary and one female) Photos of the faculty have been taken, and they will be displayed in a row along the entry hallway. i. In how many ways can the photos be displayed so that all of the women are together? Explain how you arrived at your answer. ii. In how many ways can the photos be displayed so that all of the women are together and all of the non-binary people are together? Explain how you arrived at your answer. iii. In how many ways can the photos be displayed so that all of the women are together or all of the non-binary people are together (or both)? Explain how you arrived at your answer. iv. In how many ways can the photos be displayed if the Dean appears rst, and the remaining photos are diaplayed in such a way that the Associate Deans are both together, the (remaining) F1111 Professors are all together, the Associate Professors are all together, and the Assistant Professors are all together? Explain how you arrived at your