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Class 10 · Mathematics · Hard
→If U = {1, 2, ..., 18} and A = {x : x is a prime factor of 18}, what is n(P(A'))?
Class 10 · Mathematics · Medium
→If A = {1,2,3,4}, how many subsets in P(A) are equal to their own complement with respect to A?
Class 10 · Mathematics · Hard
→If U = {1,2,3,4,5} and A = {1,2}, why is P(A') ⊆ P(U) true?
Class 10 · Mathematics · Hard
→If A = {1,2,3,4,5,6}, how many subsets in P(A) contain at least one of 1 or 2?
Class 10 · Mathematics · Medium
→If A = {a,b,c}, how many elements of P(A) are disjoint from A?
Class 10 · Mathematics · Medium
→Let U = {x : x ∈ Z, −3 ≤ x ≤ 3} and A = {x : x ≥ 0}. What is the complement A' with respect to U?
Class 10 · Mathematics · Medium
→If U = {1, 2, ..., 9}, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6}, what is the complement of A ∩ B with respect to U?
Class 10 · Mathematics · Hard
→If A = {1, 2, 3, 4}, how many subsets of A contain 2 and have even size?
Class 10 · Mathematics · Easy
→If A = {1, 2, 3}, how many elements of P(A) are proper subsets of A?
Class 10 · Mathematics · Easy
→If \(U=\{1,2,\ldots,25\}\) and \(A=\{x\in U:x\text{ is a perfect square}\}\), what is \(n(A')\)?
Class 10 · Mathematics · Medium
→If A = {a, b, c, d, e}, how many subsets of A contain both a and b?
Class 10 · Mathematics · Medium
→If \(U=\{0,1,2,3,4,5\}\) and \(A=\{x:x^2=x\}\), what is \(n(\mathcal{P}(A'))\)? Here, \(A'\) denotes the complement of \(A\) in \(U\).
Class 10 · Mathematics · Easy
→Let A be the set of distinct letters in the English word “sets”. What is n(P(A))?
Class 10 · Mathematics · Medium
→If A = {1, 2, 3, 4, 5}, how many subsets in P(A) have exactly 2 or exactly 3 elements?
Class 10 · Mathematics · Medium
→If \(U=\{1,2,\ldots,10\}\) and \(A=\{x\in U:x\text{ is a multiple of 2 or 3}\}\), what is \(A'\)?
Class 10 · Mathematics · Easy
→If \(A\) is the empty set, which statement about \(\mathcal{P}(A)\) is correct?
Class 10 · Mathematics · Medium
→If U = {a, b, c, d}, how many elements of P(U) have a singleton complement?
Class 10 · Mathematics · Easy
→If A={1,2,3,4}, how many subsets in P(A) contain 1 but do not contain 4?
Class 10 · Mathematics · Medium
→If U={1,2,...,30}, A is the set of multiples of 2, and B is the set of multiples of 5, what is n((A∪B)')?
Class 10 · Mathematics · Medium
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