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exactly-zero MCQ Questions for Class 11

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Question 1/2 Expert Mathematics Permutations and Combinations Derivations of formulas and their connections Class 11 Level 66

\(x_1+x_2+x_3+x_4=16\) में exactly (1) variable zero हो और बाकी positive हों, तो count क्या है?

In \(x_1+x_2+x_3+x_4=16\), if exactly (1) variable is zero and the rest are positive, what is the count?

Explanation opens after your attempt

Correct Answer

A. \(^{4}C_1{}^{15}C_2\)

Step 1

Concept

Choose the zero variable and split positive sum (16) among the remaining (3) variables. In exams convert exactly-zero cases into positive distribution.

Step 2

Why this answer is correct

The correct answer is A. \(^{4}C_1{}^{15}C_2\). Choose the zero variable and split positive sum (16) among the remaining (3) variables. In exams convert exactly-zero cases into positive distribution.

Step 3

Exam Tip

Zero variable चुनें और बाकी (3) variables में positive sum (16) बांटें। परीक्षा में exactly zero cases को positive distribution में बदलें।

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Create a premium AI MCQ quiz video for Muft Shiksha in BOTH formats: 16:9 landscape and 9:16 vertical short.

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Question Page:
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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Permutations and Combinations
Topic: Derivations of formulas and their connections
Difficulty: Expert
Level: 66

Question Hindi:
(x_1+x_2+x_3+x_4=16) में exactly (1) variable zero हो और बाकी positive हों, तो count क्या है?

Question English:
In (x_1+x_2+x_3+x_4=16), if exactly (1) variable is zero and the rest are positive, what is the count?

Options:
A. (^{4}C_1{}^{15}C_2)
B. (^{4}C_1{}^{18}C_2)
C. (^{19}C_3)
D. (4^{16})

Correct Answer:
A. (^{4}C_1{}^{15}C_2)

Explanation Hindi:
Zero variable चुनें और बाकी (3) variables में positive sum (16) बांटें। परीक्षा में exactly zero cases को positive distribution में बदलें।

Explanation English:
Choose the zero variable and split positive sum (16) among the remaining (3) variables. In exams convert exactly-zero cases into positive distribution.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
- Thumbnail idea.
- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class11 #Study

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Question 2/2 Expert Mathematics Permutations and Combinations Derivations of formulas and their connections Class 11 Level 64

\(x_1+x_2+x_3+x_4=18\) में exactly (2) variables zero हों, तो count क्या है?

In \(x_1+x_2+x_3+x_4=18\), if exactly (2) variables are zero, what is the count?

Explanation opens after your attempt

Correct Answer

A. \(^{4}C_2{}^{17}C_1\)

Step 1

Concept

Choose the zero variables first, then the remaining two variables form a positive sum of (18). In exams use positive distribution for exactly-zero cases.

Step 2

Why this answer is correct

The correct answer is A. \(^{4}C_2{}^{17}C_1\). Choose the zero variables first, then the remaining two variables form a positive sum of (18). In exams use positive distribution for exactly-zero cases.

Step 3

Exam Tip

पहले zero variables चुनें, फिर बाकी दो variables positive sum (18) बनाते हैं। परीक्षा में exactly zero cases में positive distribution लगाएं।

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AI Video Prompt 16:9 + 9:16

Is question ka premium MCQ video banane ke liye ready prompt. Copy karke Sora, Runway, Canva AI, CapCut AI, ChatGPT video workflow ya editor me use karein.

Create a premium AI MCQ quiz video for Muft Shiksha in BOTH formats: 16:9 landscape and 9:16 vertical short.

Brand:
- Name: Muft Shiksha
- Website: https://muftshiksha.com
- Style: dark navy futuristic learning game UI, neon cyan/blue glow, gold reward highlights, clean Devanagari text, premium educational look.
- Do not add wrong facts. Do not change the question, options or answer.

Question Page:
https://muftshiksha.com/question/in-x-1-x-2-x-3-x-4-18-if-exactly-2-variables-are-zero-what-is-the-count

MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Permutations and Combinations
Topic: Derivations of formulas and their connections
Difficulty: Expert
Level: 64

Question Hindi:
(x_1+x_2+x_3+x_4=18) में exactly (2) variables zero हों, तो count क्या है?

Question English:
In (x_1+x_2+x_3+x_4=18), if exactly (2) variables are zero, what is the count?

Options:
A. (^{4}C_2{}^{17}C_1)
B. (^{4}C_2{}^{19}C_1)
C. (4^18)
D. (^{21}C_3)

Correct Answer:
A. (^{4}C_2{}^{17}C_1)

Explanation Hindi:
पहले zero variables चुनें, फिर बाकी दो variables positive sum (18) बनाते हैं। परीक्षा में exactly zero cases में positive distribution लगाएं।

Explanation English:
Choose the zero variables first, then the remaining two variables form a positive sum of (18). In exams use positive distribution for exactly-zero cases.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
7. 30-35 sec: CTA: "More free MCQs ke liye visit karein MuftShiksha.com".

Custom Support:
- Make 16:9 version for YouTube/Facebook.
- Make 9:16 version for Shorts/Reels.
- Add Hindi-English natural voice-over.
- Add readable subtitles.
- Add light background music, low volume.
- Keep all text inside safe margins.
- Use smooth transitions, no clutter, no watermark except Muft Shiksha branding.
- Formula/Math/Chemistry text must stay exactly readable; use LaTeX-style clean rendering where needed.

Output Needed:
- Final narration script.
- Scene-by-scene visual direction.
- Text overlays for 16:9 and 9:16.
- Thumbnail idea.
- Hashtags: #MuftShiksha #FreeEducation #MCQ #Quiz #Class11 #Study

Open Question

exactly-zero MCQ Questions for Class 11

Practice Questions

\(x_1+x_2+x_3+x_4=16\) में exactly (1) variable zero हो और बाकी positive हों, तो count क्या है?

Concept

Why this answer is correct

Exam Tip

\(x_1+x_2+x_3+x_4=18\) में exactly (2) variables zero हों, तो count क्या है?

Concept

Why this answer is correct

Exam Tip

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exactly-zero MCQ Questions for Class 11

Practice Questions

\(x_1+x_2+x_3+x_4=16\) में exactly (1) variable zero हो और बाकी positive हों, तो count क्या है?

Concept

Why this answer is correct

Exam Tip

\(x_1+x_2+x_3+x_4=18\) में exactly (2) variables zero हों, तो count क्या है?

Concept

Why this answer is correct

Exam Tip

exactly-zero Revision Links

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