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Class 10 · Mathematics · Medium

If |P(A)| = 128, what is the value of |A|?

Class 10 · Mathematics · Medium

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)?

Class 10 · Mathematics · Medium

If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6, 8}, what is n(P(A'))?

Class 10 · Mathematics · Easy

If A = {1, 2, 3}, how many elements of the power set P(A) contain at least one element?

Class 10 · Mathematics · Medium

Let U = {x : x ∈ N, x ≤ 30} and let A be the set of positive divisors of 30 in U. What is n(A')?

Class 10 · Mathematics · Medium

If A = {2, 4, 6} and B = {6, 8, 10}, how many elements does the power set P(A ∪ B) have?

Class 10 · Mathematics · Medium

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7}, and B = {2, 3, 6, 7}, what is (A ∪ B)'?

Class 10 · Mathematics · Easy

If A = {g, h, i, j}, how many elements of P(A) are also proper subsets of A?

Class 10 · Mathematics · Easy

If A = {1, 2, 3, 4, 5, 6}, how many subsets of A contain none of the elements 1, 2, and 3?

Class 10 · Mathematics · Easy

If A = {1, 2, 3, 4, 5, 6, 7}, how many subsets of A contain both 3 and 7?

Class 10 · Mathematics · Medium

If A = {p, q, r, s, t, u}, how many subsets of A contain at least 5 elements?

Class 10 · Mathematics · Medium

If A = {1, 2, 3, 4, 5}, how many subsets in P(A) contain 2 but do not contain 5?

Class 10 · Mathematics · Easy

If U = {2, 4, 6, 8, 10, 12} and A' = {4, 10}, what is A?

Class 10 · Mathematics · Medium

If A ⊆ B ⊆ U, which relation is correct for their complements?

Class 10 · Mathematics · Medium

If a set A has 2048 total subsets, how many elements does A have?

Class 10 · Mathematics · Medium

If A = {a, b, c, d, e, f, g}, how many subsets of A contain exactly 6 elements?

Class 10 · Mathematics · Easy

If A = {4,4,5,6,6,7} is considered as a set, what is n(P(A))?

Class 10 · Mathematics · Easy

Let A be the set of distinct letters in the word MOON. How many elements does P(A) have?

Class 10 · Mathematics · Easy

If A = {x : x ∈ N and 5 < x < 11}, what is n(P(A))?

Class 10 · Mathematics · Medium

If n(A) = 6 and n(B) = 4, what is n(P(A)) : n(P(B))?