यदि \(A=\{p,q,r,s,t,u\}\) है, तो (\mathcal{P}(A)) में (p) और (q) दोनों को न रखने वाले subsets कितने हैं?

If \(A=\{p,q,r,s,t,u\}\), how many subsets in (\mathcal{P}(A)) contain neither (p) nor (q)?

Explanation opens after your attempt
Correct Answer

B. (16)

Step 1

Concept

After removing (p) and (q), (4) elements remain, so there are \(2^4=16\) subsets. In exams, remove both elements for a neither condition.

Step 2

Why this answer is correct

The correct answer is B. (16). After removing (p) and (q), (4) elements remain, so there are \(2^4=16\) subsets. In exams, remove both elements for a neither condition.

Step 3

Exam Tip

(p) और (q) हटाने पर (4) तत्व बचते हैं, इसलिए \(2^4=16\) subsets होंगे। परीक्षा में neither condition में दोनों तत्व हटाएं।

Question me issue ya doubt hai?

Answer, explanation, typing mistake ya suggestion directly hamari team ko bhejein. 📱Helpline (Call / WhatsApp): +91 7272824365

Related Mathematics Questions

FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{p,q,r,s,t,u\}\) है, तो (\mathcal{P}(A)) में (p) और (q) दोनों को न रखने वाले subsets कितने हैं? / If \(A=\{p,q,r,s,t,u\}\), how many subsets in (\mathcal{P}(A)) contain neither (p) nor (q)?

Correct Answer: B. (16). Explanation: (p) और (q) हटाने पर (4) तत्व बचते हैं, इसलिए \(2^4=16\) subsets होंगे। परीक्षा में neither condition में दोनों तत्व हटाएं। / After removing (p) and (q), (4) elements remain, so there are \(2^4=16\) subsets. In exams, remove both elements for a neither condition.

Which concept should I revise for this Mathematics MCQ?

After removing (p) and (q), (4) elements remain, so there are \(2^4=16\) subsets. In exams, remove both elements for a neither condition.

What exam hint can help solve this Mathematics question?

(p) और (q) हटाने पर (4) तत्व बचते हैं, इसलिए \(2^4=16\) subsets होंगे। परीक्षा में neither condition में दोनों तत्व हटाएं।