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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 n(A) = 6, how many elements of P(A) are subsets with an even number of elements?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A = {x, y, z, w}, how many elements of P(A) are not proper subsets of A?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {a, b, c, d}, what is the number of elements of P(A) that are not empty sets?Class 10SetsPower Set and SubsetsLevel 10Easy MathematicsIf A = {1, 2, 3, 4}, how many elements of P(A) contain 1 but do not contain 4?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {1, 2, 3, 4, 5}, how many elements of P(A) have exactly 3 elements?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6}, what is n(P(A' ∩ B'))? Here P denotes the power set.Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf U = {a, b, c, d, e}, A = {a, c}, and B = {c, d}, what is the number of elements of P((A ∪ B)')?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = ∅, what is P(P(A))?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf P(A) = P(B), which conclusion is correct?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A ⊆ U, |U| = 9, and |A| = 4, what is the number of proper subsets of P(A')?Class 10SetsPower Set and SubsetsLevel 10Expert MathematicsThe universal set is U = {x : x ∈ N, 1 ≤ x ≤ 10} and A = {2,4,6,8,10}. How many singleton sets are in P(A')?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf |P(P(A))| = 256, what is the value of |A|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A = {1,2,3,4} and the universal set is U = {1,2,3,4,5,6}, what is the number of elements in P(A')?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {a,b,c,d,e,f,g}, how many 4-element subsets of P(A) contain a and do not contain b?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U = {1,2,3,4,5,6,7,8,9,10,11}, A = {1,4,7,10}, and B = {2,4,6,8,10}, what is P(A ∩ B)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A ⊆ U, |U| = 16, and |P(A)| = 256, how many non-empty subsets of A' are there?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf the set U has 10 elements, how many members of P(U) are disjoint from a fixed 4-element subset of U?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A ⊆ U, |A| = 4, and |A'| = 5, what is |P(U)|?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {1,2,3,4} and B = {3,4,5,6}, what is |P(A ∪ B)| − |P(A ∩ B)|?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf |A| = 5, how many members of the power set P(A) remain after excluding both A and the empty set?Class 10SetsPower Set and SubsetsLevel 9Easy