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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 = {1, 2, 3, 4, 5, 6, 7, 8}, how many subsets of the power set P(A) have at most 2 elements?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf |A ∩ B| = 4, what is |P(A) ∩ P(B)|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf |P(P(A))| = 256, what is |A|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A = ∅, how many members are there in P(P(P(A)))?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A ⊆ U, |U| = 9, and |A′| = 4, how many proper subsets does A have?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {a,b,c,d}, how many members of 𝒫(A) have exactly 2 elements?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A = {∅, 1, {1}}, how many members are there in 𝒫(A)?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf |U| = 14, A ⊆ U, and |𝒫(A)| = 64, what is the value of |𝒫(A′)|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf U = {1,2,3,4,5,6,7,8,9,10} and A = {2,3,5,7}, what is |𝒫(A′)|?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf A ⊆ U, |U| = 11, and |𝒫(A)| = 128, how many non-empty subsets of A′ are there?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsLet A = {1, 2, 3, 4, 5, 6}. Among the 3-element subsets in the power set P(A), how many do not contain the element 1?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsLet A = {1, 2, 3, 4, 5}. How many subsets of the power set P(A) have cardinality greater than 2?Class 10SetsPower Set and SubsetsLevel 10Medium MathematicsIf |U| = 15 and |P(A)| = 32, where A ⊆ U, what is |P(A')|?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf A has n elements and |P(A)| = |P(A')|, where A ⊆ U and |U| = 12, what is the value of n?Class 10SetsPower Set and SubsetsLevel 8Hard MathematicsIf A = {x,y,z}, how many singleton members are in P(P(A))?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A = {1,2,3,4,5,6}, how many subsets in P(A) contain 1 and have even cardinality?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf |A| = 8, how many subsets in P(A) have even cardinality?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A has 7 elements, how many subsets in P(A) have an odd number of elements?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf |A|=4, |B|=5, and |A∩B|=2, what is |P(A)∩P(B)|?Class 10SetsPower Set and SubsetsLevel 10Hard MathematicsIf A ⊆ U, |U| = 7, and |P(A′)| = 8, what is |A|?Class 10SetsPower Set and SubsetsLevel 10Hard