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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।

MathematicsLet U = {1,2,3,4,5,6,7,8,9}, A = {1,2,3,4,5}, and B = {4,5,6,7}. What is the cardinality of P(A' ∪ B')?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf U = {1,2,3,4,5,6,7,8}, A = {1,2,3,4}, and B = {3,4,5,6}, what is |P(A' ∩ B')|, where complements are taken with respect to U?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {a, b, c, d, e}, how many subsets in P(A) contain at least one of a or b?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {1, 2, 3, 4, 5}, how many subsets in P(A) contain both 1 and 2 and do not contain 5?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {1, 2, 3, 4, 5, 6}, how many subsets in P(A) have even cardinality?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {1, 2, 3, 4}, how many members does the power set P(A) have, excluding A itself?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A ⊆ U, |U| = 18, and |P(A′)| = 1024, what is |P(A)|?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A ⊆ U, |A| = m, and |U| = 2m, when does |P(A)| = |P(A')| hold?Class 10SetsPower Set and SubsetsLevel 9Hard MathematicsIf A has n elements and P(A) contains 31 proper subsets, what is n?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsLet U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} and A be the set of odd elements of U. How many 3-element members are there in P(A')?Class 10SetsPower Set and SubsetsLevel 9Hard MathematicsIf A = {x ∈ Z : −2 ≤ x ≤ 3}, what is |P(A)|?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsLet U = {x ∈ N : 1 ≤ x ≤ 20} and A = {x ∈ U : x is prime}. How many non-empty subsets does A' have?Class 10SetsPower Set and SubsetsLevel 9Hard MathematicsLet U = {x ∈ N : 1 ≤ x ≤ 15} and A = {x ∈ U : x is divisible by 3}. What is |P(A')|?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {1, 2}, which statement is correct: {1} ∈ P(A) or {1} ⊆ P(A)?Class 10SetsPower Set and SubsetsLevel 9Hard MathematicsIf A = {1, 2, 3}, what is the truth value of the statement {{1}, {2}} ⊆ P(A)?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf |A| = 4, how many singleton members are there in P(P(A))?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {1,2,3,4}, how many members of P(A) are singleton sets?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf U = {1,2,3,4,5,6,7} and A = {2,4,6}, how many members of P(U) are subsets of A′?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf U = {a,b,c,d,e,f,g,h} and A = {a,b,c}, how many members of P(U) contain A as a subset?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {1,2,3,4,5}, how many subsets in P(A) are disjoint from {1,2}?Class 10SetsPower Set and SubsetsLevel 9Easy