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 \(A=\{l,m,n,o,p\}\), how many one-element subsets does \(A\) have?If \(A=\{2,4,6,8\}\), which of the following is not an element of \(\mathcal{P}(A)\)?If \(A=\{11,22\}\), which of the following is \(\mathcal{P}(A)\)?If \(A=\{w,x,y,z\}\), how many three-element subsets does \(A\) have?If \(A=\{100,200,300\}\), why is \(A\) itself an element of \(\mathcal{P}(A)\)?If \(A=\{7,14,21\}\), which of 7 and \(\{7\}\) is an element of \(\mathcal{P}(A)\)?If \(A=\{2,3,4,5,6\}\), how many four-element subsets are in \(\mathcal{P}(A)\)?If \(A=\{d,e,f\}\), why is \(\emptyset\) in \(\mathcal{P}(A)\)?If \(U=\{1,2,3,4,5,6,7\}\) and \(A=\{2,4,7\}\), how many elements are in \(\mathcal{P}(A')\)?If \(A=\{\{2\},4,6\}\), what is \(n(\mathcal{P}(A))\)?If \(U=\{1,2,3,4,5,6\}\) and \(A=\{3,4\}\), the power set \(\mathcal{P}(A')\) is formed from the subsets of which set?If A = {1, 4, 7, 10}, how many zero-element (empty) subsets are in P(A)?If A = {a, b, c, d}, why is {a, d} an element of P(A)?If U = {2, 4, 6} and A = ∅, how many elements are in P(A′)?If A = {2, 5, 8}, how many subsets in P(A) contain the element 5?If A = {12, 24, 36}, how many subsets in P(A) do not contain 36?If A = {o, u, i}, how many three-element subsets are in P(A)?If A = {5, 6}, which statement is correct?If A = {4, 5}, how many elements are in P(P(A))?If A = {1, 3, 9}, how many subsets in P(A) contain {1, 9}?