यदि \(A=\{5,10,15\}\) है तो (\mathcal{P}(A)) में कितने उपसमुच्चय (15) को नहीं रखते?

If \(A=\{5,10,15\}\), how many subsets in (\mathcal{P}(A)) do not contain (15)?

Explanation opens after your attempt
Correct Answer

C. (4)

Step 1

Concept

Without (15), the remaining (2) elements form \(2^2=4\) subsets. In exams count the elements left after removing the fixed element.

Step 2

Why this answer is correct

The correct answer is C. (4). Without (15), the remaining (2) elements form \(2^2=4\) subsets. In exams count the elements left after removing the fixed element.

Step 3

Exam Tip

(15) को न लेकर बाकी (2) तत्वों से \(2^2=4\) उपसमुच्चय बनते हैं। परीक्षा में हटे हुए तत्व के बाद बचे तत्व गिनें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{5,10,15\}\) है तो (\mathcal{P}(A)) में कितने उपसमुच्चय (15) को नहीं रखते? / If \(A=\{5,10,15\}\), how many subsets in (\mathcal{P}(A)) do not contain (15)?

Correct Answer: C. (4). Explanation: (15) को न लेकर बाकी (2) तत्वों से \(2^2=4\) उपसमुच्चय बनते हैं। परीक्षा में हटे हुए तत्व के बाद बचे तत्व गिनें। / Without (15), the remaining (2) elements form \(2^2=4\) subsets. In exams count the elements left after removing the fixed element.

Which concept should I revise for this Mathematics MCQ?

Without (15), the remaining (2) elements form \(2^2=4\) subsets. In exams count the elements left after removing the fixed element.

What exam hint can help solve this Mathematics question?

(15) को न लेकर बाकी (2) तत्वों से \(2^2=4\) उपसमुच्चय बनते हैं। परीक्षा में हटे हुए तत्व के बाद बचे तत्व गिनें।