Hard Mathematics Sets Class 11 Level 8

यदि (P(A)) में (64) अवयव हैं तो (A) के उचित उपसमुच्चयों की संख्या क्या होगी?

If (P(A)) has (64) elements, what is the number of proper subsets of (A)?

Explanation opens after your attempt
Correct Answer

C. (63)

Step 1

Concept

From \(2^n=64\), (n=6), and proper subsets are \(2^6-1=63\). Keep the formulas for power set and proper subsets separate.

Step 2

Why this answer is correct

The correct answer is C. (63). From \(2^n=64\), (n=6), and proper subsets are \(2^6-1=63\). Keep the formulas for power set and proper subsets separate.

Step 3

Exam Tip

\(2^n=64\) से (n=6) है और उचित उपसमुच्चय \(2^6-1=63\) होंगे। पावर समुच्चय और उचित उपसमुच्चय के सूत्र अलग रखें।

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Mathematics Answer, Explanation and Revision Hints

यदि (P(A)) में (64) अवयव हैं तो (A) के उचित उपसमुच्चयों की संख्या क्या होगी? / If (P(A)) has (64) elements, what is the number of proper subsets of (A)?

Correct Answer: C. (63). Explanation: \(2^n=64\) से (n=6) है और उचित उपसमुच्चय \(2^6-1=63\) होंगे। पावर समुच्चय और उचित उपसमुच्चय के सूत्र अलग रखें। / From \(2^n=64\), (n=6), and proper subsets are \(2^6-1=63\). Keep the formulas for power set and proper subsets separate.

Which concept should I revise for this Mathematics MCQ?

From \(2^n=64\), (n=6), and proper subsets are \(2^6-1=63\). Keep the formulas for power set and proper subsets separate.

What exam hint can help solve this Mathematics question?

\(2^n=64\) से (n=6) है और उचित उपसमुच्चय \(2^6-1=63\) होंगे। पावर समुच्चय और उचित उपसमुच्चय के सूत्र अलग रखें।

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