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, 3, 4, 5}, how many subsets of A contain exactly two elements?If A = {a, b, c, d}, how many subsets of A have at least two elements?If A = {1, 2, ∅}, which of the following is a subset of A?If A = {1, 2, 3}, what is the number of all proper subsets of A?If A ⊆ B, n(A) = 6, and n(B) = 6, what is certain about A and B?If A = {x : x ∈ ℤ and x² = 1} and B = {−1, 1}, which statement is true?If A = {x : x is a positive perfect-square divisor of 36}, which set is A?If A = {1, 2, 3, 4} and C = {2, 4}, why is C ⊂ A true?If A = {x : x ∈ ℕ, 2 < x ≤ 6}, which of the following is a proper subset of A?If \(A=\{x\mid x\) is a positive multiple of 10 and \(x<50\}\), how many proper subsets does \(A\) have?If \(A=\{1,2,3,4\}\), how many proper subsets of \(A\) have exactly three elements?If \(A=\{1,2,3\}\), which statement about \(\{1,3\}\) in \(P(A)\) is correct?Let A be the set of all singleton subsets of {a, b, c}, and let B = {{a}, {b}, {c}}. What is the correct relation between A and B?If A = {∅, {∅}}, which of the following is not a subset of A?If A = {1, 2, {3, 4}}, which of the following is a subset of A?If the power set P(A) has 64 elements, how many proper subsets does A have?If A = {0, 1, 2, 3}, how many subsets of A must contain 0?If A = {a, b, c, d, e}, how many subsets of A do not contain a?If A ⊆ B, B ⊆ C, and A ≠ C, which statement is always true?If A = {p, q, r, s}, how many subsets of A have exactly two elements?