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}, how many subsets of A do not contain 1?If A = {1, 2}, which of the following is not an element of P(A)?If A = {a, b}, how many elements does the power set P(A) have?If A = {1, 2, 3, 4}, how many subsets of A contain exactly one odd number?If A = {1, 2, 3, 4, 5, 6}, how many subsets of A can be formed using only even numbers?If A = {∅, {∅}, 1}, which of the following is an element of P(A) but not an element of A?How many subsets does a set with three elements have?If A = {1, 2, 3, 4}, how many subsets of A contain the element 2?If A = {p, q, r, s, t}, how many subsets of A do not contain p?If \(A=\{1,2,3\}\), which is an element of \(\mathcal{P}(A)\)?If \(A=B\), which relation between \(\mathcal{P}(A)\) and \(\mathcal{P}(B)\) is true?If A = {2, 3, 5, 7}, how many subsets of A contain both elements 2 and 7?If A = {1, 2, 3, 4, 5, 6}, how many subsets can be formed using only the odd elements?If A = {1, 2, 3, 4}, how many subsets of A have at least one element?If A has 3 elements, how many proper subsets does P(A) have?If A = {∅, {∅}, 1}, which of the following sets is an element of the power set P(A) but not an element of A?If \(A=\{1,2\}\), \(B=\{1,2,3,4,5,6\}\), how many sets \(X\) satisfy \(A\subseteq X\subseteq B\)?If a set A has 5 elements, how many three-element subsets does A have?If A = {1, 2, 3, 4, 5}, how many subsets contain 1 and exclude 5?If A = {a, b, c, d}, how many subsets contain at least one of a or b?