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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 = {a, b, c, d, e}, how many elements of P(A) contain exactly one of a and b and also contain e?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsLet U = {1, 2, 3, ..., 30}, and let A be the set of numbers divisible by 2 or 3. What is |A′|?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf A = {1, 2, 3, 4, 5, 6, 7}, how many elements of P(A) do not have exactly 5 elements?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsLet U be the set of all triangles and let E be the set of all equilateral triangles. What does the complement E′ represent?Class 10SetsPower Set and SubsetsLevel 10EasyMathematicsIf A = {∅, {∅}}, how many elements does its power set P(A) contain?Class 10SetsPower Set and SubsetsLevel 10MediumMathematicsIf A has 4 elements and B has 5 elements with A⊂B, how many elements are in P(B)\P(A)?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf U={1,2,3,4,5,6,7}, A={1,3,5,7}, how many elements does the power set P(A') of the complement of A with respect to U contain?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf A={1,2,3,4}, how many ordered pairs (X,Y) satisfy X⊆Y⊆A and Y=A?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf A={r,s,t,u,v}, how many elements of P(A) are supersets of {r,s} but do not contain v?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf P(A)=P(B), which conclusion is necessary?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf A={1,2,3,4,5}, how many elements of the power set P(A) contain at least one of 2 and 3?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf A = {a, b, c, d}, how many elements of the power set P(A) are not disjoint from {a, d}?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf A = {0, 1, 2, 3, 4}, how many elements of the power set P(A) contain 0 and have odd cardinality?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf |A| = 7, how many elements of the power set P(A) have at least 6 elements?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf A = {1, {1}, {1, 2}}, which of the following is a subset of A?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf A = {p, q, r}, how many non-empty proper subsets does A have?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf A = {1, 2, 3, 4, 5, 6}, how many elements of the power set P(A) contain 1 and do not contain 6?Class 10SetsPower Set and SubsetsLevel 9MediumMathematicsIf P(A) has 256 elements, how many elements are in P(P(A))?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsLet A = {∅,{a},b}. Which of the following is an element of P(A)?Class 10SetsPower Set and SubsetsLevel 10HardMathematicsIf |A| = 6, how many elements of P(A) have cardinality 2 or cardinality 4?Class 10SetsPower Set and SubsetsLevel 10Hard