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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 = {2, 3, 5, 7}, how many subsets contain 2 but do not contain 7?If A = {a, b, c, d, e}, how many subsets of A contain exactly three elements?If A = {1, {2}, 3}, which statement is true?If A = {1, 2, 3} and B = P(A), which element will not belong to B?If A = {1, 2, 3, 4}, how many two-element subsets will be in P(A)?If A = {∅, {1}}, then which of the following is a subset of A?If A = {1, 2, 3, 4, 5, 6}, how many subsets do not contain 1 but must contain 6?If A = {p, q, r, s}, how many subsets contain at least one of p or q?If A = {1, 2, 3, 4}, how many subsets contain 1 and 2 together or contain neither 1 nor 2?If A = {x : x ∈ N, x ≤ 4}, how many subsets of A contain 4?If A = {1, 2, 3, 4, 5}, how many subsets of A have at most two elements?If A = {a, b, c, d}, how many subsets of A have at least three elements?If A = {x : x ∈ ℤ, x² = 9} and B = {-3, 3}, which statement is correct?If A = {x : x ∈ Z, x² = 16} and C = {4}, which statement is correct?If A = {x : x ∈ N, x² − 5x + 6 = 0}, which set is equal to A?If \(A=\{x\in\mathbb{N}\mid x\text{ is an even divisor of }24\}\), which of the following is not a subset of A?If \(A=\{1,\{1,2\},3\}\), which statement is false?If \(A=\{1,\{1,2\},3\}\), which statement is false?If \(A=\{0,1,2,3\}\), in all subsets of A, how many times will the element 0 appear in total?If A = {a, b, c, d, e}, how many subsets contain the element c?