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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?
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Let A = {a, b}. Set of subsets of A is called power set of A denoted b...
Power Set of AThe power set of a set A is the set of all possible subsets of A.For example, if A = {a, b}, then the power set of A, written as P(A), would be:P(A) = { {}, {a}, {b}, {a,b} }where {} represents the empty set.Finding the Number of SubsetsTo find the number of subsets of a set A, we can use the formula:n(P(A)) = 2^nwhere n is the number of elements in A.In the example above, A has 2 elements, so:n(P(A)) = 2^2 = 4Therefore, the answer is (b) 4.
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Let A = {a, b}. Set of subsets of A is called power set of A denoted b...
Number of subsets= 2^n = 2² = 4
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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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