Only four sets of four B. Tech students(each set is from different college containing all students from different year) are standing in a queue for movie tickets. What is the Number of different possible queues if a junior never stands in front of a senior from his college?

1
\(\left( {\frac{{16!}}{{4!4!4!3!}}} \right)\)
2
\(\left( {\frac{{16!}}{{4!4!4!4!}}} \right)\)
3
\(\left( {\frac{{16!}}{{4!4!4!4!4!}}} \right)\)
4
\(4!4!4!4!\)

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