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 = {2, 4, 8}, which statement about {4, 8} is correct?If \(A=\{1,2,3,4\}\), how many times does the whole set \(A\) appear in \(\mathcal{P}(A)\)?If \(A=\{10,20,30\}\), which of the following must be an element of \(\mathcal{P}(A)\)?If \(U=\{1,2,3,4,5,6\}\) and \(A=\{1,2\}\), how many elements are in \(\mathcal{P}(A')\)?If \(A=\{2,5,7\}\), what is \(n(\mathcal{P}(A))\)?If \(A=\{x,y\}\), which of the following must be an element of \(\mathcal{P}(A)\)?If \(\mathcal{P}(A)\) has 16 elements, how many elements does \(A\) have?If \(A=\{3\}\), which of the following is \(\mathcal{P}(A)\)?If A = {1, 4, 9}, which of the following statements about {1, 9} is true?How many elements are in the power set of the empty set?If A = {∅, 1}, what is n(𝒫(A))?If A = {p, q, r, s}, how many one-element (singleton) subsets are in 𝒫(A)?If A = {1, 2, 3}, which of the following is not an element of 𝒫(A)?If A = {6, 12}, what are all the elements of the power set P(A)?If \(A=\{a,b,c,d\}\), how many two-element subsets of \(A\) are elements of the power set \(\mathcal{P}(A)\)?If A = {10, 20, 30, 40}, in what form does the whole set A appear in P(A)?If A = {2, 3, 5}, which one of 2 and {2} is an element of P(A)?If A = {1, 2, 3, 4, 5}, how many four-element subsets are in P(A)?If A = {r, s, t}, why is ∅ in P(A)?If U = {1, 2, 3, 4, 5, 6} and A = {1, 3, 6}, how many elements are in the power set P(A′) of the complement A′?