\(यदि (U={1,2,3,4,5,6,7,8,9,10}) और (A={x:x\in U, x\) सम है\(}) है, तो (\mathcal{P}(A')) में कितने non-empty members हैं\)?

\(If (U={1,2,3,4,5,6,7,8,9,10}) and (A={x:x\in U, x\) is even\(}), how many non-empty members are in (\mathcal{P}(A'))\)?

Explanation opens after your attempt
Correct Answer

B. (31)

Step 1

Concept

(A') contains odd numbers ({1,3,5,7,9}), so non-empty subsets are \(2^5-1=31\). In exams, subtract (1) to exclude \(\varnothing\).

Step 2

Why this answer is correct

The correct answer is B. (31). (A') contains odd numbers ({1,3,5,7,9}), so non-empty subsets are \(2^5-1=31\). In exams, subtract (1) to exclude \(\varnothing\).

Step 3

Exam Tip

(A') में odd numbers ({1,3,5,7,9}) हैं, इसलिए non-empty subsets \(2^5-1=31\) हैं। परीक्षा में \(\varnothing\) हटाने पर (1) घटाएं।

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Mathematics Answer, Explanation and Revision Hints

\(यदि (U={1,2,3,4,5,6,7,8,9,10}) और (A={x:x\in U, x\) सम है}) है, तो (\mathcal{P}(A')) में कितने non-empty members हैं? \(/ If (U={1,2,3,4,5,6,7,8,9,10}) and (A={x:x\in U, x\) is even\(}), how many non-empty members are in (\mathcal{P}(A'))\)?

Correct Answer: B. (31). Explanation: (A') में odd numbers ({1,3,5,7,9}) हैं, इसलिए non-empty subsets \(2^5-1=31\) हैं। परीक्षा में \(\varnothing\) हटाने पर (1) घटाएं। / (A') contains odd numbers ({1,3,5,7,9}), so non-empty subsets are \(2^5-1=31\). In exams, subtract (1) to exclude \(\varnothing\).

Which concept should I revise for this Mathematics MCQ?

(A') contains odd numbers ({1,3,5,7,9}), so non-empty subsets are \(2^5-1=31\). In exams, subtract (1) to exclude \(\varnothing\).

What exam hint can help solve this Mathematics question?

(A') में odd numbers ({1,3,5,7,9}) हैं, इसलिए non-empty subsets \(2^5-1=31\) हैं। परीक्षा में \(\varnothing\) हटाने पर (1) घटाएं।