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Class 10 · Mathematics

If \(A=\{x:x\text{ is a positive divisor of }24\}\), what is \(n(\mathcal{P}(A))\)?

Class 10 · Mathematics

If \(n(U)=80\) and \(n(A')=19\), what is \(n(A)\)?

Class 10 · Mathematics

If \(A\subseteq U\) and \(A'=\varnothing\), which conclusion is correct?

Class 10 · Mathematics

If \(A\) and \(B\) are subsets of \(U\), what is \((A\cap B)'\) equal to?

Class 10 · Mathematics

A school has 75 students. Of these, 32 students take part in music and 28 take part in drama. If 10 students take part in both activities, how many students take part in neither activity?

Class 10 · Mathematics

If \(U=\{1,2,3,4,5,6,7,8,9,10\}\) and \(A=\{1,4,9\}\), how many elements does \(A'\) have?

Class 10 · Mathematics

If \(U=\{a,b,c,d,e,f\}\) and \(A=\{a,c,f\}\), what is \(A'\)?

Class 10 · Mathematics

How many elements are there in \(\mathcal{P}(\mathcal{P}(\{a\}))\)?

Class 10 · Mathematics

If A = {∅, {∅}}, what is n(P(A))?

Class 10 · Mathematics

If A = {0, {1}, 2}, which of the following is not an element of P(A)?

Class 10 · Mathematics

If A = {r, s, t, u}, which of the following is an element of P(A)?

Class 10 · Mathematics

If a set B has 1024 total subsets, how many proper subsets does it have?

Class 10 · Mathematics

If n(P(A)) = 512, what is the value of n(A)?

Class 12 · Mathematics

If A = {0, 2, 4, 6}, how many elements does P(A) have?

Class 10 · Mathematics

If U = {x ∈ N : x ≤ 15} and A = {x : x is a multiple of 5}, what is n(A′)?

Class 10 · Mathematics

If A = {a, {b}, c}, which of the following is not an element of P(A)?

Class 10 · Mathematics

If U = {1, 2, 3, 4, 5, 6, 7, 8} is the universal set and A = {2, 3, 5, 7}, what is the complement A′ of A?

Class 10 · Mathematics

If A = {1, 3, 5}, how many subsets in P(A) must contain 3?

Class 10 · Mathematics

If U = {x : x ∈ ℕ, x ≤ 20} and A is the set of positive divisors of 20, what is n(A′)?

Class 10 · Mathematics

If A = {1,2,3} and B = {3,4}, how many elements does P(A ∪ B) have?