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Let A={a, b}. set of subsets of A is called power set of A denoted by P(A). Now n(P(A) is
- a)2
- b)4
- c)3
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Let A={a, b}. set of subsets of A is called power set of A denoted by ...
Explanation:
Power Set:
- The power set of a set is the set of all its subsets.
- If a set has 'n' elements, then its power set will have 2^n elements.
Given:
- Set A = {a, b} which has 2 elements.
Calculating the number of elements in P(A):
- Number of elements in P(A) = 2^n, where n is the number of elements in set A.
- Substituting n = 2, we get 2^2 = 4.
Therefore, the number of elements in the power set of set A is 4, which corresponds to option 'B'.
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Let A={a, b}. set of subsets of A is called power set of A denoted by P(A). Now n(P(A) isa)2b)4c)3d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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