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The number of elements in the Power set P(S) of the set S = {{1,2}, {2,3}, {2,4}} is given by
- a)2
- b)4
- c)8
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The number of elements in the Power set P(S) of the set S ={{1,2}, {2,...
The power set of any set S is the set of all subsets of S, including the empty set and S itself, various denoted as p(S).
Let A = {{1,2}, {2,3}, {2,4}}
Power set of A = {Φ, {{1, 2}}, {{2,3}}, {{2,4}}, {{1,2}, {2,3}}, {{1,2}, {2,4}}, {{2,3}, {2,4}}, {{1,2}, {2,3}, {2,4}}}
Let power set of S = x
Number of elements of power set of x
P(x) = 2n = 23 = 8.
Most Upvoted Answer
The number of elements in the Power set P(S) of the set S ={{1,2}, {2,...
No of elements in a Power set = 2^N (where N is the no. of elements in a set)
= 2^3
=8
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The number of elements in the Power set P(S) of the set S ={{1,2}, {2,...
It is not clear what the set S is. Please provide the complete set.
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