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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 = {book, pen}, how many elements does P(A) have?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf A has 0 elements, how many elements will 𝒫(A) have?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf the power set of a set has 32 elements, how many elements does the original set have?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf \(U=\{0,1,2,3,4\}\) and \(A=\{0,2,4\}\), how many elements are in \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf \(A=\{\emptyset\}\), then what is \(n(\mathcal{P}(A))\)?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf n(P(A)) = 8, what is n(A)?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsWhich subsets belong to the power set P({m, n})?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf n(A) = 2, what is n(P(A))?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf a set has 4 elements, how many elements will its power set contain?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf A = {1, 2, 3}, then how many elements are in P(A)?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsAssertion: If n(A) = n(B), then A = B. Reason: Equal cardinality always gives identical elements. Choose the correct option.Class 10SetsEqual sets and SubsetsLevel 7Easy MathematicsIf A ⊆ B, n(A) = 4, n(B) = 4, and both sets are finite, which statement is correct?Class 10SetsEqual sets and SubsetsLevel 7Easy MathematicsIf A and B are finite sets, A is a proper subset of B, and n(A) = 6, which value of n(B) is impossible?Class 10SetsEqual sets and SubsetsLevel 7Easy MathematicsIf |P(A)| = 32, what is |A|?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf \(A\) and \(B\) are finite and \(n(A)=n(B)\), must \(A=B\) always hold?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 8Easy MathematicsIf \(A\subseteq B\) and \(n(A)=n(B)\), where both sets are finite, what follows?Class 10SetsEqual sets and SubsetsLevel 8Medium MathematicsIf A and B are finite sets such that A is a subset of B and n(A) = n(B), which conclusion is correct?Class 10SetsEqual sets and SubsetsLevel 7Medium MathematicsIf A ⊆ B, A and B are finite sets, and n(A) = n(B) = 7, what is the conclusion?Class 10SetsEqual sets and SubsetsLevel 9Medium MathematicsIf a set has 15 proper subsets, how many elements are in its power set?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf A = {1, 2, {1, 2}}, how many elements does A have?Class 10SetsEqual sets and SubsetsLevel 10Easy