10. What is the probability of these events when we randomly select a permutation of the 26 lowercase letters of the En- glish alphabet? a) The first 13 letters of the permutation are in alphabet- ical order. b) a is the first letter of the permutation and z is the last letter. c) a and z are next to each other in the permutation. d) a and b are not next to each other in the permutation. e) a and z are separated by at least 23 letters in the per- mutation. f) z precedes both a and b in the permutation