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Question

Six friends have arrived at the theater for the premiere of the film “Love Aaj Kal.” Fred and Jason have are at loggerheads off late. Fred insists on standing behind Jason in line at the ticket stand, though not necessarily right behind him. How many ways can the six arrange themselves in line such that Fred’s requirement is satisfied?

A
720
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B
460
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C
380
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D
360
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E
none of these
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Solution

The correct option is D 360

Option (d). Total number of combinations = 6! =720. In exactly half the cases, Jason will be in front of Fred. Answer is 360


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