The Schulich Society for Anarchy, Collectivism and Economic Equality has only 12 members, with surnames:
Adams, Bezos, Chung, Dirar, Efrim, Faruk, Gomes, Habib, Ikeda, Jones, Kenny, and Laval
Probably the only orderly aspect of this motley crew is the fact that there names have initials that are the first 12 letters of the alphabet. The Society does not believe in elections because they see them as competitive and destructive to the human psyche. Therefore, the Society plans to select it’s executive by random selection. However, a ferocious debate has broken out over the selection procedure to be used. The Society has also not determined whether the executive committee will be 4 or 5 members.
(a) Proposal 1, Part 1 is to form the executive committee by random selection.
i) Assuming that the executive committee is 4 people:
B) What is the probability that the executive committee has alphabetically consecutive surnames?