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 = {p, q, r, s, t, u}, how many subsets of A contain at least 5 elements?If A = {1, 2, 3, 4, 5, 6, 7}, how many subsets of A contain both 3 and 7?If A = {1, 2, 3, 4, 5, 6}, how many subsets of A contain none of the elements 1, 2, and 3?If A = {g, h, i, j}, how many elements of P(A) are also proper subsets of A?If A = {2, 4, 6} and B = {6, 8, 10}, how many elements does the power set P(A ∪ B) have?If A = {1, 2, 3}, how many elements of the power set P(A) contain at least one element?If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6, 8}, what is n(P(A'))?If A = {1, 2, 3, 4} and B is a subset of A containing exactly two elements, how many such sets B are elements of the power set P(A)?If |P(A)| = 128, what is the value of |A|?If A = {∅, {1}, 2}, which of the following is an element of P(A)?If A has 5 elements, how many elements of P(A) are singleton sets?If A = {a, b, c}, which of the following is NOT an element of P(A)?If U = {1,2,3,4,5,6,7,8,9,10} and A = {2,3,5,7}, what type of set is A′?If P(A) = {∅, {p}, {q}, {p,q}}, what is A?If |A| = 4, how many elements of P(A) have at least 3 elements?If A = {1, {2}}, which must be in P(A)?If the universal set is U = ℝ and A = {x : x² = 4}, what does A′ represent?If A is an empty set, how many elements are in P(P(A))?If A = {1,2,3}, how many elements of P(A) contain 1?Under which condition is P(A) ⊆ P(B) true?