Class 11 Mathematics Permutations and Combinations Derivations of formulas and their connections Expert Level 66

(18) identical balls को (6) boxes में रखना है और exactly (3) boxes non-empty हों, तो count कौन-सी है?

(18) identical balls are placed into (6) boxes and exactly (3) boxes are non-empty. Which count is correct?

Author: Muft Shiksha Editorial Team Published:
Explanation opens after your attempt
Correct Answer

A. \(^{6}C_3{}^{17}C_2\)

Step 1

Concept

First choose the (3) non-empty boxes and then split (18) balls into (3) positive parts. In exams use choose boxes plus positive stars and bars for exactly non-empty.

Step 2

Why this answer is correct

The correct answer is A. \(^{6}C_3{}^{17}C_2\). First choose the (3) non-empty boxes and then split (18) balls into (3) positive parts. In exams use choose boxes plus positive stars and bars for exactly non-empty.

Step 3

Exam Tip

पहले (3) non-empty boxes चुनें फिर (18) balls को (3) positive parts में बांटें। परीक्षा में exactly non-empty को choose boxes plus positive stars-bars करें।

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(18) identical balls को (6) boxes में रखना है और exactly (3) boxes non-empty हों, तो count कौन-सी है? / (18) identical balls are placed into (6) boxes and exactly (3) boxes are non-empty. Which count is correct?

Correct Answer: A. \(^{6}C_3{}^{17}C_2\). Explanation: पहले (3) non-empty boxes चुनें फिर (18) balls को (3) positive parts में बांटें। परीक्षा में exactly non-empty को choose boxes plus positive stars-bars करें। / First choose the (3) non-empty boxes and then split (18) balls into (3) positive parts. In exams use choose boxes plus positive stars and bars for exactly non-empty.

Which concept should I revise for this Mathematics MCQ?

First choose the (3) non-empty boxes and then split (18) balls into (3) positive parts. In exams use choose boxes plus positive stars and bars for exactly non-empty.

What exam hint can help solve this Mathematics question?

पहले (3) non-empty boxes चुनें फिर (18) balls को (3) positive parts में बांटें। परीक्षा में exactly non-empty को choose boxes plus positive stars-bars करें।