Question

What is the probability of these events when we randomly select a permutation of the 26 lowercase letters of the English alphabet? (a) a is the first letter of the permutation and z is the last letter. (b) The 5 vowels are not all separated. (c) The first 3 letters are all together in the permutation (in some order) or the last 4 letters are all together in the permutation (in some order). (d) The first 13 letters of the permutation are in alphabetical order (but not necessarily consecutive). For example, it starts with bcdfhilmqstxz (all in alphabetical order) and is then followed by any arrangement of the other 13 letters.

Answer 1