यदि \(A=\{1,2,3,4,5,6,7\}\) है तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (2) और (5) अवश्य हों लेकिन (7) न हो?

If \(A=\{1,2,3,4,5,6,7\}\) then how many subsets contain (2) and (5) necessarily but do not contain (7)?

Explanation opens after your attempt
Correct Answer

C. (16)

Step 1

Concept

(2) and (5) are fixed and (7) is excluded, while the remaining (4) elements are free. Hence the number is \(2^4=16\).

Step 2

Why this answer is correct

The correct answer is C. (16). (2) and (5) are fixed and (7) is excluded, while the remaining (4) elements are free. Hence the number is \(2^4=16\).

Step 3

Exam Tip

(2) और (5) निश्चित हैं तथा (7) हटेगा, बाकी (4) अवयव स्वतंत्र हैं। इसलिए संख्या \(2^4=16\) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(A=\{1,2,3,4,5,6,7\}\) है तो ऐसे उपसमुच्चयों की संख्या कितनी है जिनमें (2) और (5) अवश्य हों लेकिन (7) न हो? / If \(A=\{1,2,3,4,5,6,7\}\) then how many subsets contain (2) and (5) necessarily but do not contain (7)?

Correct Answer: C. (16). Explanation: (2) और (5) निश्चित हैं तथा (7) हटेगा, बाकी (4) अवयव स्वतंत्र हैं। इसलिए संख्या \(2^4=16\) है। / (2) and (5) are fixed and (7) is excluded, while the remaining (4) elements are free. Hence the number is \(2^4=16\).

Which concept should I revise for this Mathematics MCQ?

(2) and (5) are fixed and (7) is excluded, while the remaining (4) elements are free. Hence the number is \(2^4=16\).

What exam hint can help solve this Mathematics question?

(2) और (5) निश्चित हैं तथा (7) हटेगा, बाकी (4) अवयव स्वतंत्र हैं। इसलिए संख्या \(2^4=16\) है।