Expert Mathematics Sets Class 11 Level 7

यदि किसी समुच्चय के कुल उपसमुच्चय (32) हैं तो उस समुच्चय के उचित उपसमुच्चय कितने होंगे?

If a set has (32) total subsets then how many proper subsets will it have?

Explanation opens after your attempt
Correct Answer

B. (31)

Step 1

Concept

Total subsets are \(2^n=32\) so proper subsets are (32-1=31). In exams do not count the original set as a proper subset.

Step 2

Why this answer is correct

The correct answer is B. (31). Total subsets are \(2^n=32\) so proper subsets are (32-1=31). In exams do not count the original set as a proper subset.

Step 3

Exam Tip

कुल उपसमुच्चय \(2^n=32\) हैं इसलिए उचित उपसमुच्चय (32-1=31) होंगे। परीक्षा में मूल समुच्चय को उचित उपसमुच्चय में न गिनें।

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What is the correct answer to this Mathematics MCQ?

The correct answer is B. (31).

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