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 have an even sum?If A = {1, 3, 5, 7}, how many subsets have an odd sum?If A = {1, 2, 3} and B = {{1}, {2}, {3}}, which statement is correct?If A = {{1}, {2}}, which of the following is an element of P(A)?If A = {1, 2, 3, 4, 5}, how many two-element subsets of A do not contain 5?If A = {1, 2, 3, 4, 5, 6, 7}, how many subsets necessarily contain 2 and 5 but do not contain 7?If A = {∅, {∅}}, which of the following is an element of P(A)?If A = {a, b, c}, what is the total number of subsets of A?If a set has 31 proper subsets, how many elements does the set have?If \(A=\{x:x\text{ is a letter of the English word “math”}\}\) and \(B=\{m,a,t,h\}\), which statement is correct?If \(A=\{1,3,5,7\}\) and \(B=\{x:x\text{ is a positive odd integer less than }8\}\), what is the relation between A and B?If \(A=\{1,2,3,4\}\) and \(B=\{1,2\}\), which statement is correct?If \(A=\{x:x\text{ is a prime factor of }12\}\) and \(B=\{2,3\}\), which statement is true?If \(A=\{1,2\}\) and \(B=\{\{1,2\}\}\), which statement is correct?If \(A=\{p,q,r,s\}\) and \(B=\{p,r\}\), which subsets of B are also subsets of A?If \(A=\{0,1,2\}\), which of the following is not a subset of A?If \(P(A)\) has 16 elements, how many elements does A have?Which of the following is an element of the power set \(P(A)\) of \(A=\{1,2,3\}\)?If \(A\subset B\) and \(B\subset A\), what is the correct conclusion?Which of the following sets is a subset of A = {1, {2}, 3}?