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 |P(A)| = 32 and |P(B)| = 8, what is |P(A × B)|?If A = {1,2,3,4,5,6}, how many elements of P(A) contain no element greater than 1?Let A = {a, b, c, d, e, f}. How many elements of the power set P(A) have exactly three elements and do not contain a?If A = {1,2,3,4,5}, how many members of P(A) have an even sum of elements?Let U = {x : x ∈ N and x ≤ 50}, and let A be the set of multiples of 10 in U. What is |P(A')|, where A' is the complement of A in U?If A = {1,2,3,4}, how many members of P(A) are subsets of {1,2,3} but not supersets of {1}?If A = {x,y,z}, how many singleton sets are there in P(P(A))?If A = {1, 2, 3, 4, 5, 6}, how many elements of P(A) contain at least two elements from {1, 2, 3}?If A = {1, 2, 3, 4, 5}, how many elements of P(A) contain 1, do not contain 2, and have exactly 3 elements?If n(P(A)) = 64 and the universal set U has 10 elements, how many elements are in A'?If A = {1, {2}, 3}, which one is an element of P(A)?If P(A) = P(B), which conclusion is always true?For a set A, if n(P(P(A))) = 16, what is n(A)?If a finite set A is said to have exactly 5 proper subsets, what is the correct conclusion?In a situation where a finite set is said to have exactly 5 proper subsets, what is the correct conclusion?If U = {1, 2, ..., 20} and A is the set of all prime numbers in U, what is n(P(A'))?If A = {1, 2}, which statement is false?If n(A)=m and n(P(A))=n(A)+12, what is m?If A has 3 elements, how many elements of P(A) are singleton subsets of A?If A = {a, b, c, d}, how many subsets with exactly 2 elements are in P(A)?