Question

properties of power set​

Answer 1

Answer:

For a given set S with n elements, number of elements in P(S) is 2^n. As each element has two possibilities (present or absent}, possible subsets are 2×2×2.. n times = 2^n. Therefore, power set contains 2^n elements. Power set of a finite set is finite.

Step-by-step explanation:

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Answer 2

Required Answer :

• For a given set S with n elements, number of elements in P(S) is 2^n.

• As each element has two possibilities (present or absent}, possible subsets are 2×2×2.. n times = 2^n.

• Therefore, power set contains 2^n elements. Power set of a finite set is finite.