How many subsets does a set with 5 elements have, including the empty set and the set itself?
Answer and explanation
Correct answer: A.
- Step 1: Each of the 5 elements is either in a subset or not, giving 2 choices per element. Step 2. The number of subsets is . **Answer: . Why not the others:** is , is the number of subsets with exactly 2 elements, and leaves out the empty set.
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