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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 set A has 5 elements, how many three-element subsets does A have?Class 10SetsPower Set and SubsetsLevel 9Easy MathematicsIf \(A=\{1,2\}\), \(B=\{1,2,3,4,5,6\}\), how many sets \(X\) satisfy \(A\subseteq X\subseteq B\)?Class 10SetsPower Set and SubsetsLevel 9Medium MathematicsIf A = {∅, {∅}, 1}, which of the following sets is an element of the power set P(A) but not an element of A?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf A has 3 elements, how many proper subsets does P(A) have?Class 10SetsPower Set and SubsetsLevel 6Hard MathematicsIf A = {1, 2, 3, 4}, how many subsets of A have at least one element?Class 10SetsPower Set and SubsetsLevel 6Medium MathematicsIf A = {1, 2, 3, 4, 5, 6}, how many subsets can be formed using only the odd elements?Class 10SetsPower Set and SubsetsLevel 8Easy MathematicsIf A = {2, 3, 5, 7}, how many subsets of A contain both elements 2 and 7?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf \(A=B\), which relation between \(\mathcal{P}(A)\) and \(\mathcal{P}(B)\) is true?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf \(A=\{1,2,3\}\), which is an element of \(\mathcal{P}(A)\)?Class 10SetsPower Set and SubsetsLevel 8Easy MathematicsIf A = {p, q, r, s, t}, how many subsets of A do not contain p?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsIf A = {1, 2, 3, 4}, how many subsets of A contain the element 2?Class 10SetsPower Set and SubsetsLevel 8Medium MathematicsHow many subsets does a set with three elements have?Class 10SetsPower Set and SubsetsLevel 7Medium MathematicsIf A = {∅, {∅}, 1}, which of the following is an element of P(A) but not an element of A?Class 10SetsPower Set and SubsetsLevel 7Hard MathematicsIf A = {1, 2, 3, 4, 5, 6}, how many subsets of A can be formed using only even numbers?Class 10SetsPower Set and SubsetsLevel 7Easy MathematicsIf A = {1, 2, 3, 4}, how many subsets of A contain exactly one odd number?Class 10SetsPower Set and SubsetsLevel 7Medium MathematicsIf A = {a, b}, how many elements does the power set P(A) have?Class 10SetsPower Set and SubsetsLevel 7Easy MathematicsIf A = {1, 2}, which of the following is not an element of P(A)?Class 10SetsPower Set and SubsetsLevel 7Medium MathematicsIf A = {1, 2, 3, 4}, how many subsets of A do not contain 1?Class 10SetsPower Set and SubsetsLevel 7Easy MathematicsIf A = ∅, how many subsets does A have?Class 10SetsPower Set and SubsetsLevel 7Easy MathematicsLet N = {1, 2, 3, ...} be the set of positive natural numbers and A = {x : x ∈ N and x² < 10}. Which of the following is a proper subset of A?Class 10SetsPower Set and SubsetsLevel 5Easy