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\(7\) people, \(A, B, C, D, E, F,\) and \(G,\) go to a movie and sit next to each other in \(7\) adjacent seats in the front row of the theater. How many different arrangements are possible? If \(A\) will not sit to the left of \(F\) and \(F\) will not sit to the left of \(E.\) How many different arrangements are possible.
A) \(\dfrac{7!}2\)
B) \(\dfrac{7!}3\)
C) \(\dfrac{7!}4\)
D) \(\dfrac{7!}5\)
E) \(\dfrac{7!}6\)
Answer: E
Source: Veritas Prep
A) \(\dfrac{7!}2\)
B) \(\dfrac{7!}3\)
C) \(\dfrac{7!}4\)
D) \(\dfrac{7!}5\)
E) \(\dfrac{7!}6\)
Answer: E
Source: Veritas Prep
