यदि \(U=\{1,2,3,4,5,6,7\}\) और \(A=\{1,2,3\}\) है, तो (A') के proper subsets की संख्या कितनी है?

If \(U=\{1,2,3,4,5,6,7\}\) and \(A=\{1,2,3\}\), how many proper subsets does (A') have?

Explanation opens after your attempt
Correct Answer

C. (15)

Step 1

Concept

(A'={4,5,6,7}) has (4) elements, so proper subsets are \(2^4-1=15\). In exams, remember to exclude the whole (A').

Step 2

Why this answer is correct

The correct answer is C. (15). (A'={4,5,6,7}) has (4) elements, so proper subsets are \(2^4-1=15\). In exams, remember to exclude the whole (A').

Step 3

Exam Tip

(A'={4,5,6,7}) में (4) तत्व हैं, इसलिए proper subsets \(2^4-1=15\) हैं। परीक्षा में पूरा (A') हटाना न भूलें।

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Mathematics Answer, Explanation and Revision Hints

यदि \(U=\{1,2,3,4,5,6,7\}\) और \(A=\{1,2,3\}\) है, तो (A') के proper subsets की संख्या कितनी है? / If \(U=\{1,2,3,4,5,6,7\}\) and \(A=\{1,2,3\}\), how many proper subsets does (A') have?

Correct Answer: C. (15). Explanation: (A'={4,5,6,7}) में (4) तत्व हैं, इसलिए proper subsets \(2^4-1=15\) हैं। परीक्षा में पूरा (A') हटाना न भूलें। / (A'={4,5,6,7}) has (4) elements, so proper subsets are \(2^4-1=15\). In exams, remember to exclude the whole (A').

Which concept should I revise for this Mathematics MCQ?

(A'={4,5,6,7}) has (4) elements, so proper subsets are \(2^4-1=15\). In exams, remember to exclude the whole (A').

What exam hint can help solve this Mathematics question?

(A'={4,5,6,7}) में (4) तत्व हैं, इसलिए proper subsets \(2^4-1=15\) हैं। परीक्षा में पूरा (A') हटाना न भूलें।