Answer
There are 128 viewing options.
Work Step by Step
The provided set of films is:
{Avatar, The Avengers, Titanic, The Dark Knight, Star Wars, Shrek 2, E.T. the Extra Terrestrial}
The number of ways to view some, all, or none of these films is equal to the number of subsets of the given set.
A set of $n$ elements has $2^n$ subsets; therefore, our set has:
$2^7=128$ subsets.
There are 128 viewing options.
