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Power Set And Subsets

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

MathematicsIf A = {2,4,6,8,10}, how many elements of P(A) contain only even numbers?Class 10SetsPower Set and SubsetsLevel 10EasyMathematicsIf A = {a, b, c, d, e}, how many elements of P(A) contain a but do not contain both b and c?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is the value of |P(A ∩ B)|, where P denotes the power set?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf \(A=\{x,y,z,w\}\), how many elements of \(\mathcal{P}(A)\) are disjoint from \(\{x,z\}\)?Class 10SetsPower Set and SubsetsLevel 8MediumMathematicsIf \(A=\{1,2,3\}\), how many elements does \(\mathcal{P}(A)\setminus\{\varnothing,A\}\) contain?Class 10SetsPower Set and SubsetsLevel 8MediumMathematicsIf \(A=\{1,2,3,4\}\), how many elements of \(\mathcal{P}(A)\) contain exactly one of \(1\) and \(2\)?Class 10SetsPower Set and SubsetsLevel 8MediumMathematicsIf \(A=\{a,b,c\}\), how many elements of \(\mathcal{P}(A)\) are supersets of \(\{a,b\}\)?Class 10SetsPower Set and SubsetsLevel 8MediumMathematicsIf \(A=\{1,2,3,4,5\}\), how many subsets of the power set \(\mathcal{P}(A)\) have even cardinality?Class 10SetsPower Set and SubsetsLevel 8HardMathematicsIf A={1,2,3}, which of the following statements is false?Class 10SetsPower Set and SubsetsLevel 10EasyMathematicsIf A={1,2,3,4}, how many elements of P(A) do not contain 1 and do contain 4?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf A has 6 elements, how many elements of P(A) do not have exactly 2 elements?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf A={∅,0}, what is P(A)?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf A={a,b,c,d}, how many elements of P(A) are subsets with an odd number of elements?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf A = {1, 2, 3, 4, 5}, how many elements of P(A) contain both 2 and 5 but do not contain 1?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf A has n elements and P(A) has 64 elements, how many 3-element subsets does A have?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf A = {m, n}, which of the following is not a subset of P(A)?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsLet U = {x : x ∈ N, x ≤ 12} and A = {x ∈ U : x is a multiple of 3}. How many elements does A' have?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf A = {0, 1, 2, 3}, how many elements of P(A), that is, subsets of A, have sum 3?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsUnder which condition is P(A) ⊆ P(B) true?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf A = {1,2,3}, how many elements of P(A) contain 1?Class 10SetsPower Set and SubsetsLevel 10Medium