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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 A = {{1}, 2}, what is n(P(A))?If U = {1, 2, 3, 4, 5} and A = {2, 3}, the power set of A′ will be based on which set?If A = {2, 4, 6, 8}, how many zero-element subsets are in P(A)?If A = {a, b, c}, why is {a, c} an element of P(A)?If U = {1, 2, 3, 4} and A = ∅, how many elements are in P(A')?If A = {1, 2, 3}, how many sets in P(A) contain 1?If A = {5, 10, 15}, how many subsets of P(A) do not contain 15?If A = {a, e, i}, how many three-element subsets are in P(A)?If A = {1, 2}, which statement is correct?If A = {0, 1}, how many elements are in P(P(A))?If A = {2, 4, 6}, how many subsets of P(A) will include {2, 4}?If A = {1, 2, 3, 4}, how many subsets in P(A) contain 1 and do not contain 4?If A = {∅, {∅}}, what is n(P(A))?If A = {1,3,5,7}, what are the total number of subsets and the number of one-element subsets in P(A), respectively?If A = {4,6,8}, how many elements are in P(A)?If A = {u,v}, which of the following is an element of P(A)?If n(P(A)) = 64, what is n(A)?If A = {9}, which of the following is P(A)?If \(A=\{3,6,9\}\), which statement is correct about \(\{3,9\}\)?If \(A=\{\emptyset,5,10\}\), what is \(n(\mathcal{P}(A))\)?