यदि \(A=\{1,2,3,4\}\) है और \(B\subseteq A\) में ठीक दो तत्व हैं, तो ऐसे कितने (B), (\mathcal{P}(A)) के तत्व होंगे?

If \(A=\{1,2,3,4\}\) and \(B\subseteq A\) has exactly two elements, how many such (B) will be elements of (\mathcal{P}(A))?

Explanation opens after your attempt
Correct Answer

A. (6)

Step 1

Concept

The number of two-element subsets is \(\binom{4}{2}=6\). In exams, remember elements of (\mathcal{P}(A)) are subsets.

Step 2

Why this answer is correct

The correct answer is A. (6). The number of two-element subsets is \(\binom{4}{2}=6\). In exams, remember elements of (\mathcal{P}(A)) are subsets.

Step 3

Exam Tip

दो तत्वों वाले उपसमुच्चयों की संख्या \(\binom{4}{2}=6\) है। परीक्षा में (\mathcal{P}(A)) के तत्व उपसमुच्चय होते हैं।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4\}\) है और \(B\subseteq A\) में ठीक दो तत्व हैं, तो ऐसे कितने (B), (\mathcal{P}(A)) के तत्व होंगे? / If \(A=\{1,2,3,4\}\) and \(B\subseteq A\) has exactly two elements, how many such (B) will be elements of (\mathcal{P}(A))?

Correct Answer: A. (6). Explanation: दो तत्वों वाले उपसमुच्चयों की संख्या \(\binom{4}{2}=6\) है। परीक्षा में (\mathcal{P}(A)) के तत्व उपसमुच्चय होते हैं। / The number of two-element subsets is \(\binom{4}{2}=6\). In exams, remember elements of (\mathcal{P}(A)) are subsets.

Which concept should I revise for this Mathematics MCQ?

The number of two-element subsets is \(\binom{4}{2}=6\). In exams, remember elements of (\mathcal{P}(A)) are subsets.

What exam hint can help solve this Mathematics question?

दो तत्वों वाले उपसमुच्चयों की संख्या \(\binom{4}{2}=6\) है। परीक्षा में (\mathcal{P}(A)) के तत्व उपसमुच्चय होते हैं।