Let S={a,b}S = \{a, b\}S={a,b}. How many elements does the power set 2S2^S2S contain?
**Solution.**
The power set 2S2^S2S contains these elements: {a,b},{a},{b},∅\{a, b\}, \{a\}, \{b\}, \emptyset{a,b},{a},{b},∅.
**Answer:** 4 elements.
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