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exactly-zero MCQ Questions for Class 11

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2 questions tagged with exactly-zero.

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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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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