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But wait —32 and 10 were the answers to the counting questions about subsets. Coincidence? Not at all. Each bit string can be thought of as a code for a subset. To represent the subsets of \(A = \{1,2,3,4,5\}\text{,}\) we can use 5-bit strings, one bit for each element of \(A\text{.}\) Each bit in the string is a 0 if its corresponding element of \(A\) is not in the subset, and a 1 if the element of \(A\) is in the subset. Remember, deciding the subset amounted to a sequence of five yes/no votes for the elements of \(A\text{.}\) Instead of yes, we put a 1; instead of no, we put a 0.