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Cardinality

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf a set A has 2048 total subsets, how many elements does A have?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf \(A=\{x:x\text{ is a positive divisor of }24\}\), what is \(n(\mathcal{P}(A))\)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf \(n(U)=80\) and \(n(A')=19\), what is \(n(A)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf \(U=\{1,2,3,4,5,6,7,8,9,10\}\) and \(A=\{1,4,9\}\), how many elements does \(A'\) have?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf a set B has 1024 total subsets, how many proper subsets does it have?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf n(P(A)) = 512, what is the value of n(A)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {x ∈ N : x ≤ 15} and A = {x : x is a multiple of 5}, what is n(A′)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Medium MathematicsIf A = {1,2,3} and B = {3,4}, how many elements does P(A ∪ B) have?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf A = {x, y, z}, how many elements of P(A) are also proper subsets of A?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf A = {x : x ∈ ℤ, −2 ≤ x ≤ 2}, how many elements does the power set P(A) have?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf a set A has 256 total subsets, how many elements does A have?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf A = {a, b, c, d, e, f}, how many subsets with exactly 5 elements are in P(A)?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {1, 1, 2, 2, 3} is considered as a set, what is n(P(A))?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsLet A = {x : x is a distinct letter of the English word LEVEL}. How many elements does P(A) have?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf n(A) = 4 and n(B) = 3, what is the ratio n(P(A)) : n(P(B))?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A is a subset of U, n(U) = 60, n(A) = 28, and n(A') = x, what is x?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf A = {x : x is a positive divisor of 18}, what is n(P(A))?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf the universal set U has 35 elements and set A has 12 elements, how many elements does the complement A′ contain?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {1, 3, 5, 7}, how many elements are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsHow many elements are there in the power set 𝒫(∅) of the empty set?Class 10SetsPower Set and SubsetsLevel 10Easy