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Class 10 · Mathematics

If \(A=\{1,2,3\}\), how many elements does \(\mathcal{P}(A)\setminus\{\varnothing,A\}\) contain?

Class 12 · Mathematics

If \(U=\mathbb{N}\) and \(A=\{x:x\in\mathbb{N},\ x\le 100\}\), what is \(A'\)?

Class 10 · Mathematics

If \(A=\{1,2,3,4\}\), how many elements of \(\mathcal{P}(A)\) contain exactly one of \(1\) and \(2\)?

Class 10 · Mathematics

If \(U\) is the set of all digits and \(A=\{0,2,4,6,8\}\), what is \(A'\)?

Class 10 · Mathematics

If \(A=\{a,b,c\}\), how many elements of \(\mathcal{P}(A)\) are supersets of \(\{a,b\}\)?

Class 10 · Mathematics

If \(U=\{1,2,3,4,5,6,7,8,9\}\) and \(A=\{1,4,9\}\), which description correctly identifies \(A'\)?

Class 10 · Mathematics

If \(A=\{1,2,3,4,5\}\), how many subsets of the power set \(\mathcal{P}(A)\) have even cardinality?

Class 10 · Mathematics

If the universal set is \(U=\{a,b,c,d,e,f\}\) and \(A'=\{b,d,f\}\), what is the set \(A\)?

Class 10 · Mathematics

If A={1,2,3}, which of the following statements is false?

Class 10 · Mathematics

If U={1,2,3,4,5} and A=∅, what is A'?

Class 10 · Mathematics

If A={1,2,3,4}, how many elements of P(A) do not contain 1 and do contain 4?

Class 10 · Mathematics

If U is the set of students, A is the set of students studying Mathematics, and B is the set of students studying Physics, what does A'∩B' represent?

Class 10 · Mathematics

If A has 6 elements, how many elements of P(A) do not have exactly 2 elements?

Class 10 · Mathematics

If A={∅,0}, what is P(A)?

Class 10 · Mathematics

If U={1,2,...,12}, A={2,4,6,8,10,12}, and B={3,6,9,12}, how many elements are in (A∪B)'?

Class 12 · Mathematics

If A has 3 elements, how many ordered pairs (X,Y) are there such that X⊆Y⊆A?

Class 10 · Mathematics

If U={1,2,3,4,5,6,7}, A={1,2,4}, and B={2,4,6}, what is (A∩B)'?

Class 10 · Mathematics

If A={a,b,c,d}, how many elements of P(A) are subsets with an odd number of elements?

Class 10 · Mathematics

If |U| = 15 and |A'| = 6, what is |A|?

Class 10 · Mathematics

If U = {x : x ∈ Z, 0 ≤ x ≤ 10} and A = {0, 2, 4, 6, 8, 10}, what is A'?