four mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the four arrange themselves in line such that Frankie’s requirement is satisfied?
Choose the most appropriate option.
A) 24 B) 28 C) 32 D) 36 E) 42
4 mobsters can stand in 4! ways = 24   in half of the cases one person will be ahead and in the other person in the other half.   thus 24 cases.   24
<result>A</result>
four mobsters have arrived at the theater for the premiere of the film “Goodbuddies.” One of the mobsters, Frankie, is an informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting to keep Joey in his sights, insists upon standing behind Joey in line at the concession stand, though not necessarily right behind him. How many ways can the four arrange themselves in line such that Frankie’s requirement is satisfied?