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Subjects

Mathematics

Power Set and Subsets

घात समुच्चय और उपसमुच्चय

In Class 11 Mathematics, under the chapter Sets, Power Set and Subsets explains subsets, proper subsets, and the power set of a given set. Students learn to identify whether one set is contained in another, list elements of a power set, and count subsets with specified elements or cardinalities.

Practice questions

If U = {1, 2, 3} and A = ∅, what is A′?Which subsets belong to the power set P({m, n})?If A = {1, 2, 3, 4, 5}, how many one-element subsets are there in P(A)?If A = {2, 4, 6}, is A itself an element of P(A)?If n(P(A)) = 8, what is n(A)?If \(A=\{\emptyset\}\), then what is \(n(\mathcal{P}(A))\)?If A = {∅}, which of the following is P(A)?If A = {1, 2}, which of 1 and {1} is an element of P(A)?If A = {1, 3, 5}, then {1, 5} is an element of which set?If the power set of a set has 32 elements, how many elements does the original set have?If A has 0 elements, how many elements will 𝒫(A) have?If A = {1, 2, 3}, how many two-element subsets does 𝒫(A) contain?If A = {2, 3}, what is the relation of ∅ with 𝒫(A)?If A = {7, 8}, why is {7, 8} ∈ 𝒫(A)?In which case will A′ = ∅?If A = {1, 2, 3, 4}, how many three-element subsets are in P(A)?If A = {a, b, c}, how many zero-element (empty) subsets are there in P(A)?If P(A) = {∅, {5}}, what is the original set A?If A = {1, 2}, why is {1, 2, 3} not an element of P(A)?If A = {book, pen}, how many elements does P(A) have?