Thinking Mathematically (6th Edition)

Published by Pearson

Chapter 2 - Set Theory - 2.2 Subsets - Exercise Set 2.2: 95

Answer

There are $64$ viewing options.

Work Step by Step

{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.

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