Class 11 Mathematics Permutations and Combinations Derivations of formulas and their connections Hard Level 65

\(x_1+x_2+x_3=12\) के non-negative integer solutions की count कौन-सी है?

What is the count of non-negative integer solutions of \(x_1+x_2+x_3=12\)?

Explanation opens after your attempt
Correct Answer

B. \({}^{14}C_2\)

Step 1

Concept

Non-negative solutions by stars and bars are \({}^{12+3-1}C_{3-1}\). In exams convert equation solutions into distribution problems.

Step 2

Why this answer is correct

The correct answer is B. \({}^{14}C_2\). Non-negative solutions by stars and bars are \({}^{12+3-1}C_{3-1}\). In exams convert equation solutions into distribution problems.

Step 3

Exam Tip

Non-negative solutions stars and bars से \({}^{12+3-1}C_{3-1}\) होते हैं। परीक्षा में equation solutions को distribution problem बनाएं।

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\(x_1+x_2+x_3=12\) के non-negative integer solutions की count कौन-सी है? / What is the count of non-negative integer solutions of \(x_1+x_2+x_3=12\)?

Correct Answer: B. \({}^{14}C_2\). Explanation: Non-negative solutions stars and bars से \({}^{12+3-1}C_{3-1}\) होते हैं। परीक्षा में equation solutions को distribution problem बनाएं। / Non-negative solutions by stars and bars are \({}^{12+3-1}C_{3-1}\). In exams convert equation solutions into distribution problems.

Which concept should I revise for this Mathematics MCQ?

Non-negative solutions by stars and bars are \({}^{12+3-1}C_{3-1}\). In exams convert equation solutions into distribution problems.

What exam hint can help solve this Mathematics question?

Non-negative solutions stars and bars से \({}^{12+3-1}C_{3-1}\) होते हैं। परीक्षा में equation solutions को distribution problem बनाएं।