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Class 10 · Mathematics
→If A ⊆ B ⊆ U, |U| = 9, |B| = 6, and |A| = 4, what is |P(B − A)| + |P(U − B)|?
Class 10 · Mathematics
→If |U| = 10, |A| = 6, |B| = 5, and |A ∩ B| = 3, what is |P((A ∪ B)′)|?
Class 10 · Mathematics
→If U = {1, 2, 3, 4, 5, 6}, A = {1, 2, 3}, and B = {3, 4, 5}, what is |P((A ∩ B)')|, where the complement is taken relative to U?
Class 10 · Mathematics
→If A = {1,2,3,4,5,6}, how many subsets in P(A) contain 1 and have even cardinality?
Class 10 · Mathematics
→If A = {1,2,3,4,5}, how many subsets in P(A) either contain both 2 and 3 or contain neither of them?
Class 10 · Mathematics
→If A = {a,b,c,d}, how many subsets in P(A) do not contain a?
Class 10 · Mathematics
→If A = {1,2}, which statement about {1} ⊆ P(A) is true?
Class 10 · Mathematics
→If U = {1,2,3,4,5,6,7,8,9,10} and A = {x : x ∈ U, x is even}, how many non-empty members are in P(A′)?
Class 10 · Mathematics
→If U = {x ∈ N : 1 ≤ x ≤ 12} and A = {x ∈ U : x is prime}, what is |P(A')|?
Class 10 · Mathematics
→Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 3, 5, 7}, and B = {2, 3, 5, 8}. What is |P((A ∪ B)')|, where the complement is taken relative to U?
Class 10 · Mathematics
→If A = {1, 2, 3, 4}, how many subsets in P(A) contain {1, 2} as a subset?
Class 10 · Mathematics
→If A = {1, 2, 3, 4, 5, 6}, how many subsets in P(A) contain at least one of 2 or 4?
Class 10 · Mathematics
→If A = {a, b, c, d, e, f}, how many subsets in P(A) contain both a and b?
Class 10 · Mathematics
→If A = {1, 2, 3, 4, 5}, how many subsets in P(A) must contain 1 and must not contain 5?
Class 10 · Mathematics
→If |A| = 8, how many subsets in P(A) have even cardinality?
Class 10 · Mathematics
→If A has 7 elements, how many subsets in P(A) have an odd number of elements?
Class 10 · Mathematics
→If |A| = 6, how many members of the power set P(A) have exactly 4 elements?
Class 10 · Mathematics
→If A = {p, q, r}, how many two-element subsets are members of the power set P(A)?
Class 10 · Mathematics
→If A = {1, 2} and B = {3, 4}, how many members are in P(A ∪ B) − (P(A) ∪ P(B))?
Class 10 · Mathematics
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