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Class 10 · Mathematics

If \(U=\{1,2,3,4,5,6\}\) and \(A=\{1,2\}\), how many elements are in \(\mathcal{P}(A')\)?

Class 10 · Mathematics

If \(A=\{10,20,30\}\), which of the following must be an element of \(\mathcal{P}(A)\)?

Class 10 · Mathematics

If \(U=\{a,e,i,o,u\}\) and \(A=\{a,i,u\}\), what is \(A'\)?

Class 10 · Mathematics

If \(A=\{1,2,3,4\}\), how many times does the whole set \(A\) appear in \(\mathcal{P}(A)\)?

Class 10 · Mathematics

Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {3, 6, 9}, which element belongs to A', the complement of A?

Class 10 · Mathematics

If A = {2, 4, 8}, which statement about {4, 8} is correct?

Class 10 · Mathematics

If A = {book, pen}, how many elements does P(A) have?

Class 10 · Mathematics

If U = {1, 2, 3, 4}, A = {1, 4}, and B = A', what is B?

Class 10 · Mathematics

If A = {1, 2}, why is {1, 2, 3} not an element of P(A)?

Class 10 · Mathematics

If P(A) = {∅, {5}}, what is the original set A?

Class 10 · Mathematics

If U = {red, blue, green} and A = {red}, what is A', the complement of A in U?

Class 10 · Mathematics

If A = {a, b, c}, how many zero-element (empty) subsets are there in P(A)?

Class 10 · Mathematics

If A = {1, 2, 3, 4}, how many three-element subsets are in P(A)?

Class 10 · Mathematics

With respect to the universal set U, in which case is the complement A′ equal to U?

Class 10 · Mathematics

In which case will A′ = ∅?

Class 10 · Mathematics

If U = {1, 2, 3, 4, 5, 6, 7} and A = {1, 3, 5, 7}, what is A′, the complement of A relative to U?

Class 10 · Mathematics

If A = {7, 8}, why is {7, 8} ∈ 𝒫(A)?

Class 10 · Mathematics

If A = {2, 3}, what is the relation of ∅ with 𝒫(A)?

Class 10 · Mathematics

Given U = {1, 2, 3, 4, 5} and A′ = {4, 5}, what is A?

Class 10 · Mathematics

If A = {1, 2, 3}, how many two-element subsets does 𝒫(A) contain?