## Thinking Mathematically (6th Edition)

There are $64$ viewing options.
{Citizen Kane (1941), The Godfather (1972), Casablanca (1942), Raging Bull (1980), Singin’ in the Rain (1952), and Gone with the Wind (1939)} 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: $2^6=64$ subsets. There are $64$ viewing options.