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Jocelyn plans to watch all the films on a list of the 100 greatest films. She has only one constraint on the order in which

Jocelyn plans to watch all the films on a list of the 100 greatest films. She

has only one constraint on the order in which she views them: Five films

on the list were directed by Alfred Hitchcock, and she wants to have a

"Hitchcock marathon" in which she watches those five films consecutively,

in any order.

How many possible orders for the 100 movies are there that satisfy this

constraint?

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