Answer to Question #292483 in Discrete Mathematics for jake grayson

Question

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.