यदि \(A=\{100,200,300\}\) है तो (A) स्वयं (\mathcal{P}(A)) में क्यों होता है?

If \(A=\{100,200,300\}\), why is (A) itself in (\mathcal{P}(A))?

Explanation opens after your attempt
Correct Answer

A. क्योंकि \(A\subseteq A\)because \(A\subseteq A\)

Step 1

Concept

Every set is a subset of itself. Hence \(A\in\mathcal{P}(A)\) is correct.

Step 2

Why this answer is correct

The correct answer is A. क्योंकि \(A\subseteq A\) / because \(A\subseteq A\). Every set is a subset of itself. Hence \(A\in\mathcal{P}(A)\) is correct.

Step 3

Exam Tip

हर समुच्चय स्वयं का उपसमुच्चय होता है। इसलिए \(A\in\mathcal{P}(A)\) सही है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{100,200,300\}\) है तो (A) स्वयं (\mathcal{P}(A)) में क्यों होता है? / If \(A=\{100,200,300\}\), why is (A) itself in (\mathcal{P}(A))?

Correct Answer: A. क्योंकि \(A\subseteq A\) / because \(A\subseteq A\). Explanation: हर समुच्चय स्वयं का उपसमुच्चय होता है। इसलिए \(A\in\mathcal{P}(A)\) सही है। / Every set is a subset of itself. Hence \(A\in\mathcal{P}(A)\) is correct.

Which concept should I revise for this Mathematics MCQ?

Every set is a subset of itself. Hence \(A\in\mathcal{P}(A)\) is correct.

What exam hint can help solve this Mathematics question?

हर समुच्चय स्वयं का उपसमुच्चय होता है। इसलिए \(A\in\mathcal{P}(A)\) सही है।