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Class 10 · Mathematics
→If A = {0, 1, 2, 3, 4}, how many elements of the power set P(A) contain 0 and have odd cardinality?
Class 10 · Mathematics
→If U = {1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, and B = {4, 5, 6}, what is A' ∩ B, where the complement is taken with respect to U?
Class 10 · Mathematics
→If |A| = 7, how many elements of the power set P(A) have at least 6 elements?
Class 10 · Mathematics
→If A = {1, {1}, {1, 2}}, which of the following is a subset of A?
Class 10 · Mathematics
→If A ⊆ U and A' = U, which statement about A is correct?
Class 10 · Mathematics
→If A = {p, q, r}, how many non-empty proper subsets does A have?
Class 10 · Mathematics
→If U = {a, b, c, d, e, g, h}, A = {a, c, g}, and B = {b, c, h}, what is (A ∪ B)' with respect to U?
Class 10 · Mathematics
→If A = {1, 2, 3, 4, 5, 6}, how many elements of the power set P(A) contain 1 and do not contain 6?
Class 10 · Mathematics
→If P(A) has 256 elements, how many elements are in P(P(A))?
Class 10 · Mathematics
→Let U = Z and A = {x ∈ Z : −2 ≤ x ≤ 3}. Which is the correct description of A′?
Class 10 · Mathematics
→Let A = {∅,{a},b}. Which of the following is an element of P(A)?
Class 10 · Mathematics
→Let U = {1,2,3,…,12} and A = {x ∈ U : x is divisible by 4}. What is the complement A′ of A with respect to U?
Class 10 · Mathematics
→If |A| = 6, how many elements of P(A) have cardinality 2 or cardinality 4?
Class 10 · Mathematics
→If A = {2,4,6,8,10}, how many elements of P(A) contain only even numbers?
Class 10 · Mathematics
→If A = {a, b, c, d, e}, how many elements of P(A) contain a but do not contain both b and c?
Class 10 · Mathematics
→Let U = {x ∈ N : x ≤ 15} and A = {x ∈ U : x is not prime}. What is A′, the complement of A in U?
Class 10 · Mathematics
→If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, what is the value of |P(A ∩ B)|, where P denotes the power set?
Class 10 · Mathematics
→Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {x ∈ U : x is divisible by neither 2 nor 5}. What is A′, the complement of A in U?
Class 10 · Mathematics
→If \(A=\{x,y,z,w\}\), how many elements of \(\mathcal{P}(A)\) are disjoint from \(\{x,z\}\)?
Class 10 · Mathematics
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