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, 4}, B = {2, 3, 4, 5}, and C = {3, 4}, which statement is correct?If A = {x : x ∈ Z and 0 < x² < 10}, which set is equal to A?If A = {1, 2, 3, 4} and B = {1, 3}, how many subsets of A contain B as a subset?Let A = {X : X ⊆ {1, 2, 3, 4}, {1, 4} ⊆ X, and 2 ∉ X}. Which set is equal to A?How many subsets does a set with 5 elements have in total?If A has 64 subsets, how many elements does A have?If A = {1, 2, 3, 4, 5, 6}, how many subsets do not contain 2?If A = {1, 2, 3, 4}, how many subsets of A have exactly 3 elements?If A = {1, 2, 3}, how many elements does P(A), the power set of A, have?If A = {1, 2}, which of the following is P(A), the power set of A?If A = {2, 3, 5, 7, 11}, how many subsets contain 2 but do not contain 11?If A = {a, b, c, d}, how many subsets of A contain at least one element?If A = {1, 2, 3, 4, 5}, how many subsets have exactly 2 elements and do not contain 5?If A = {1, 2, {1, 2}}, which of the following is correct?If A = {1, 2, 3}, which of the following is an element of P(A)?If \(A=\{1,2,3\}\) and \(B=\{1,2,3,4,5\}\), how many subsets of \(B\) necessarily contain all elements of \(A\)?If A = {a, b, c, d, e}, how many subsets contain a, do not contain c, and have exactly 3 elements?If A = {a, b, c, d}, how many subsets of A have exactly two elements?Let N = {1, 2, 3, ...} be the set of positive natural numbers and A = {x : x ∈ N and x² < 10}. Which of the following is a proper subset of A?If A = ∅, how many subsets does A have?