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Class 10 · Mathematics
→If A = {∅, 1, {1}}, how many members are there in 𝒫(A)?
Class 10 · Mathematics
→If |U| = 14, A ⊆ U, and |𝒫(A)| = 64, what is the value of |𝒫(A′)|?
Class 10 · Mathematics
→If U = {1,2,3,4,5,6,7,8,9,10} and A = {2,3,5,7}, what is |𝒫(A′)|?
Class 12 · Mathematics
→If A = {∅, {∅}, {{∅}}}, what is |𝒫(A)|?
Class 10 · Mathematics
→If |A| = 5, how many members of 𝒫(A) contain a fixed element a ∈ A and have odd cardinality?
Class 10 · Mathematics
→If U = {1,2,3,4,5,6,7,8}, A = {1,2,3,4}, and B = {3,4,5,6}, what is |𝒫((A ∩ B)′)|?
Class 10 · Mathematics
→If A ⊆ U, |U| = 11, and |𝒫(A)| = 128, how many non-empty subsets of A′ are there?
Class 10 · Mathematics
→If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6, 8}, how many members of P(U) are disjoint from A'?
Class 10 · Mathematics
→If U = {a, b, c, d, e, f, g} and A = {a, c, e}, how many members of P(U) contain A as a subset?
Class 10 · Mathematics
→Let A = {1, 2, 3, 4, 5, 6}. Among the 3-element subsets in the power set P(A), how many do not contain the element 1?
Class 10 · Mathematics
→If A = {1, 2, 3, 4, 5, 6}, among the 3-element subsets in P(A), how many contain 1?
Class 10 · Mathematics
→If A = {1, 2, 3, 4, 5, 6, 7}, how many subsets in P(A) have at least 5 elements?
Class 10 · Mathematics
→Let A = {1, 2, 3, 4, 5}. How many subsets of the power set P(A) have cardinality greater than 2?
Class 10 · Mathematics
→If |U| = 15 and |P(A)| = 32, where A ⊆ U, what is |P(A')|?
Class 10 · Mathematics
→If A has n elements and |P(A)| = |P(A')|, where A ⊆ U and |U| = 12, what is the value of n?
Class 10 · Mathematics
→If U = {1, 2, 3, 4, 5, 6, 7} and A = {1, 2, 3}, how many proper subsets does A' have?
Class 10 · Mathematics
→If A = {1, 2, 3, 4}, how many members of the power set P(A) are disjoint from {1, 2}?
Class 10 · Mathematics
→If A = {x,y,z}, how many singleton members are in P(P(A))?
Class 10 · Mathematics
→If A = {1,2,3}, how many members of P(A) are themselves singleton sets?
Class 10 · Mathematics
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