10. What is the probability of these events whenwe randomly select a permutation of the 26 lowercase letters of the English alphabet?
a) The first 13 letters of the permutation are in alphabetical 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 permutation.
f ) z precedes both a and b in the permutation.