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# informer, and he's afraid that another member of his crew, Joey, is on to him. Frankie, wanting

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Six 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 six arrange themselves in line such that Frankie’s requirement is satisfied?

A) 6

B) 24

C) 120

D) 360

E) 720

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Total number of combinations possible is 6! = 720.

Since there are no specific conditions there would exactly half number of cases Joey would be ahead of Frankie and exactly half number of cases where Frankie would be ahead of Joey.  Therefore, in order to satisfy Frankie's requirement, the six mobsters could be arranged in 720/2 = 360 different ways.

answered Jun 18, 2014 by Senior Associate (475 points)
selected Jun 30, 2014 by
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Jyotsna Mehta