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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 U = {3, 6, 9, 12} and A = U, how many elements are in A′?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf \(A=\{\{2\},4,6\}\), what is \(n(\mathcal{P}(A))\)?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf \(A=\{\{2\},4,6\}\), what is \(n(A)\)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10Easy MathematicsIf \(U=\{1,2,3,4,5,6,7\}\) and \(A=\{2,4,7\}\), how many elements are in \(\mathcal{P}(A')\)?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf \(A=\{\emptyset,5,10\}\), what is \(n(\mathcal{P}(A))\)?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf \(U=\{0,1,2,3,4,5,6\}\) and \(A=\{1,3,5\}\), what is \(n(A')\)?Class 10SetsComplement of a Set and Its PropertiesLevel 10Easy MathematicsIf n(P(A)) = 64, what is n(A)?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf A = {4,6,8}, how many elements are in P(A)?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf A = {1,3,5,7}, what are the total number of subsets and the number of one-element subsets in P(A), respectively?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf A = {∅, {∅}}, what is n(P(A))?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf A = {0, 1}, how many elements are in P(P(A))?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {a, e, i}, how many three-element subsets are in P(A)?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf A = {{1}, 2}, what is n(P(A))?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf A = {{1}, 2}, what is n(A)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 9Easy MathematicsIf A = {∅, 1}, what is n(𝒫(A))?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf \(U=\{0,1,2,3,4,5\}\) and \(A=\{0,1,5\}\), what is \(n(A')\)?Class 10SetsComplement of a Set and Its PropertiesLevel 9Easy MathematicsIf \(\mathcal{P}(A)\) has 16 elements, how many elements does \(A\) have?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf \(A=\{2,5,7\}\), what is \(n(\mathcal{P}(A))\)?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf \(U=\{1,2,3,4,5,6\}\) and \(A=\{1,2\}\), how many elements are in \(\mathcal{P}(A')\)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf \(A=\{1,2,3,4\}\), how many times does the whole set \(A\) appear in \(\mathcal{P}(A)\)?Class 10SetsPower Set and SubsetsLevel 10Easy