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The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] is
- a)2
- b)4
- c)8
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The number of elements in the Power set P(S) of the set S = [ [ Φ]...
There’s a result in mathematics used for this. It says that a power set B of any set A is a set of all the subsets of A and the number of elements of B will be 2^n where n is the number of elements of A.
So taking your question as an example;
A = {1,2,3}
B : set of all subsets of A
List out all the subsets of A - {1},{2},{3},{1,2},{2,3},{1,3},{1,2,3},{empty set}
Number of elements in A (n) = 3
so 23 = 8
So, B = {{1},{2},{3},{1,2},{2,3},{1,3},{1,2,3},{empty set}}
and the number of elements are 8.
So taking your question as an example;
A = {1,2,3}
B : set of all subsets of A
List out all the subsets of A - {1},{2},{3},{1,2},{2,3},{1,3},{1,2,3},{empty set}
Number of elements in A (n) = 3
so 23 = 8
So, B = {{1},{2},{3},{1,2},{2,3},{1,3},{1,2,3},{empty set}}
and the number of elements are 8.
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The number of elements in the Power set P(S) of the set S = [ [ Φ]...
Without knowing the entire set S, it is impossible to determine the number of elements in its power set P(S). However, we can use the formula to calculate the number of elements in the power set.
If S has n elements, then the power set P(S) has 2^n elements.
Therefore, if we know the number of elements in set S, we can calculate the number of elements in its power set.
If S has n elements, then the power set P(S) has 2^n elements.
Therefore, if we know the number of elements in set S, we can calculate the number of elements in its power set.
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The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] isa)2b)4c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] isa)2b)4c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] isa)2b)4c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] isa)2b)4c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] isa)2b)4c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] isa)2b)4c)8d)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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