Beginner Mathematics-6
Algebra
Level
2
Given that a set has 512 subsets, how many members does the set have?
6
7
9
8
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1 solution
A set of size N has 2 N subsets. To see why, note that in constructing a subset, each element has two possibilities: it is either in the subset or it isn't. lo g 2 ( 5 1 2 ) = 9