The number of elements in the power set P(S) of the set S = {{∅}, 1, {2,3}} is:
1995
The number of elements in the power set P(S) of the set S = {{∅}, 1, {2,3}} is:
- A.
2
- B.
4
- C.
8
- D.
None of the above
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Correct answer: C
First, count the distinct elements in set S: ∅, 1, and {2,3}. This gives a cardinality of |S| = 3. The size of the power set P(S) is always 2 raised to the power of the cardinality. Therefore, calculate 2^3 to find there are 8 elements in P(S).
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