समुच्चय A = {1, 2, 3, 4} के सभी उपसमुच्चयों पर विचार कीजिए। उनमें से कितने समुच्चय {4} के अधिसमुच्चय हैं?

This question was previously asked in
NDA 01/2022: Maths Previous Year paper (Held On 10 April 2022)
View all NDA Papers >
  1. 6
  2. 7
  3. 8
  4. 9

Answer (Detailed Solution Below)

Option 3 : 8
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

Download Solution PDF

संकल्पना:

एक उचित उपसमुच्चय वह होता है जिसमें मूल समुच्चय के कुछ अवयव होते हैं।

एक अधिसमुच्चय वह होता है जिसमें मूल समुच्चय के अवयवों सहित सभी अवयव होते हैं।

गणना:

{1, 2, 3, 4} के अधिसमुच्चय और समुच्चय {4} के अधिसमुच्चय 

{4}, {1, 4}, {2, 4}, {3, 4}, {1, 2, 4}, {2, 3, 4), (1, 3, 4}, {1, 2, 3, 4}

अत: समुच्चय {4} के 8 अधिसमुच्चय हैं।

समुच्चय की अभीष्ट संख्या 8 है।

Latest NDA Updates

Last updated on May 30, 2025

->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.

-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.

->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.

-> Earlier, the UPSC NDA 1 Exam Result has been released on the official website.

-> The selection process for the NDA exam includes a Written Exam and SSB Interview.

-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100. 

-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential. 

More Operations on Sets Questions

More Sets Questions

Hot Links: teen patti gold apk teen patti - 3patti cards game downloadable content teen patti dhani teen patti classic teen patti master 2023