यदि (|U|=14), \(A\subseteq U\), और (|\mathcal{P}(A)|=64) है, तो (|\mathcal{P}(A')|) का मान क्या है?

If (|U|=14), \(A\subseteq U\), and (|\mathcal{P}(A)|=64), what is the value of (|\mathcal{P}(A')|)?

Explanation opens after your attempt
Correct Answer

C. \(2^8\)

Step 1

Concept

Since (|\mathcal{P}(A)|=64=26), (|A|=6) and (|A'|=8). Hence (|\mathcal{P}(A')|=28).

Step 2

Why this answer is correct

The correct answer is C. \(2^8\). Since (|\mathcal{P}(A)|=64=26), (|A|=6) and (|A'|=8). Hence (|\mathcal{P}(A')|=28).

Step 3

Exam Tip

(|\mathcal{P}(A)|=64=26), इसलिए (|A|=6) और (|A'|=8)। अतः (|\mathcal{P}(A')|=28)।

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Mathematics Answer, Explanation and Revision Hints

यदि (|U|=14), \(A\subseteq U\), और (|\mathcal{P}(A)|=64) है, तो (|\mathcal{P}(A')|) का मान क्या है? / If (|U|=14), \(A\subseteq U\), and (|\mathcal{P}(A)|=64), what is the value of (|\mathcal{P}(A')|)?

Correct Answer: C. \(2^8\). Explanation: (|\mathcal{P}(A)|=64=26), इसलिए (|A|=6) और (|A'|=8)। अतः (|\mathcal{P}(A')|=28)। / Since (|\mathcal{P}(A)|=64=26), (|A|=6) and (|A'|=8). Hence (|\mathcal{P}(A')|=28).

Which concept should I revise for this Mathematics MCQ?

Since (|\mathcal{P}(A)|=64=26), (|A|=6) and (|A'|=8). Hence (|\mathcal{P}(A')|=28).

What exam hint can help solve this Mathematics question?

(|\mathcal{P}(A)|=64=26), इसलिए (|A|=6) और (|A'|=8)। अतः (|\mathcal{P}(A')|=28)।