यदि (n(\mathcal{P}(B))=128) है, तो (B) के उचित उपसमुच्चयों की संख्या कितनी होगी?

If (n(\mathcal{P}(B))=128), how many proper subsets does (B) have?

Explanation opens after your attempt
Correct Answer

C. (127)

Step 1

Concept

There are (128) total subsets, and a proper subset does not include the whole set itself. So the number is (128-1=127).

Step 2

Why this answer is correct

The correct answer is C. (127). There are (128) total subsets, and a proper subset does not include the whole set itself. So the number is (128-1=127).

Step 3

Exam Tip

कुल उपसमुच्चय (128) हैं और उचित उपसमुच्चय में पूरा समुच्चय नहीं गिना जाता। इसलिए संख्या (128-1=127) होगी।

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Mathematics Answer, Explanation and Revision Hints

यदि (n(\mathcal{P}(B))=128) है, तो (B) के उचित उपसमुच्चयों की संख्या कितनी होगी? / If (n(\mathcal{P}(B))=128), how many proper subsets does (B) have?

Correct Answer: C. (127). Explanation: कुल उपसमुच्चय (128) हैं और उचित उपसमुच्चय में पूरा समुच्चय नहीं गिना जाता। इसलिए संख्या (128-1=127) होगी। / There are (128) total subsets, and a proper subset does not include the whole set itself. So the number is (128-1=127).

Which concept should I revise for this Mathematics MCQ?

There are (128) total subsets, and a proper subset does not include the whole set itself. So the number is (128-1=127).

What exam hint can help solve this Mathematics question?

कुल उपसमुच्चय (128) हैं और उचित उपसमुच्चय में पूरा समुच्चय नहीं गिना जाता। इसलिए संख्या (128-1=127) होगी।