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Class 10 · Mathematics
→If U = {a,b,c,d,e,f,g,h} and A = {a,b,c}, how many members of P(U) contain A as a subset?
Class 10 · Mathematics
→If A = {1,2,3,4,5}, how many subsets in P(A) are disjoint from {1,2}?
Class 10 · Mathematics
→If A = {1,2,3,4,5,6}, how many 3-element subsets in P(A) contain 1 and do not contain 6?
Class 10 · Mathematics
→If A = {a,b,c,d,e}, how many subsets in P(A) contain exactly one of a and b?
Class 10 · Mathematics
→If A = {1, 2, 3, 4, 5, 6, 7, 8}, how many subsets of the power set P(A) have at most 2 elements?
Class 10 · Mathematics
→If A = {1,2,3,4,5,6,7}, how many subsets in P(A) have at least 6 elements?
Class 10 · Mathematics
→If U = {1,2,3,4,5,6,7,8,9}, A = {1,3,5,7,9}, and B = {2,3,5,8}, what is |P((A − B)′)|?
Class 10 · Mathematics
→If A ∩ B = ∅, |A| = 4, and |B| = 3, what is |P(A) ∪ P(B)|?
Class 10 · Mathematics
→If |A ∩ B| = 4, what is |P(A) ∩ P(B)|?
Class 10 · Mathematics
→If (A\subseteq B), (|A|=3), and (|B|=6), what is (|\mathcal{P}(B)-\mathcal{P}(A)|)?
Class 10 · Mathematics
→If |P(P(A))| = 256, what is |A|?
Class 10 · Mathematics
→If A = ∅, how many members are there in P(P(P(A)))?
Class 10 · Mathematics
→If (A={1,{2,3},4}), which of the following is a member of (\mathcal{P}(A))?
Class 10 · Mathematics
→If (A={1,2,3,4,5,6}), how many subsets in (\mathcal{P}(A)) have odd cardinality and contain (6)?
Class 10 · Mathematics
→If (|A|=7), how many subsets in (\mathcal{P}(A)) have even cardinality?
Class 10 · Mathematics
→If A = {p, q, r, s, t, u}, how many subsets of A contain neither p nor q?
Class 10 · Mathematics
→If A = {1, 2, 3, 4, 5}, how many subsets of A contain 1 but do not contain 2?
Class 10 · Mathematics
→If A ⊆ U, |U| = 9, and |A′| = 4, how many proper subsets does A have?
Class 10 · Mathematics
→If 𝒫(A) = 𝒫(B), which statement is definitely true?
Class 10 · Mathematics
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