यदि \(A=\{1,2,3,4\}\) है, तो (\mathcal{P}(A)) में कुल कितने तत्व होंगे?

If \(A=\{1,2,3,4\}\), how many elements will (\mathcal{P}(A)) have?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

If a set has (n) elements, its power set has \(2^n\) elements. Here \(2^4=16\), so remember this rule.

Step 2

Why this answer is correct

The correct answer is C. (16). If a set has (n) elements, its power set has \(2^n\) elements. Here \(2^4=16\), so remember this rule.

Step 3

Exam Tip

यदि समुच्चय में (n) तत्व हों, तो घात समुच्चय में \(2^n\) तत्व होते हैं। यहां \(2^4=16\), इसलिए यह नियम याद रखें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\) है, तो (\mathcal{P}(A)) में कुल कितने तत्व होंगे? / If \(A=\{1,2,3,4\}\), how many elements will (\mathcal{P}(A)) have?

Correct Answer: C. (16). Explanation: यदि समुच्चय में (n) तत्व हों, तो घात समुच्चय में \(2^n\) तत्व होते हैं। यहां \(2^4=16\), इसलिए यह नियम याद रखें। / If a set has (n) elements, its power set has \(2^n\) elements. Here \(2^4=16\), so remember this rule.

Which concept should I revise for this Mathematics MCQ?

If a set has (n) elements, its power set has \(2^n\) elements. Here \(2^4=16\), so remember this rule.

What exam hint can help solve this Mathematics question?

यदि समुच्चय में (n) तत्व हों, तो घात समुच्चय में \(2^n\) तत्व होते हैं। यहां \(2^4=16\), इसलिए यह नियम याद रखें।