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

(20) identical balls को (5) boxes में बांटना है और exactly (2) boxes empty हों। सही count कौन-सी है?

(20) identical balls are distributed into (5) boxes and exactly (2) boxes are empty. Which count is correct?

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

A. \(^{5}C_2{}^{19}C_2\)

Step 1

Concept

First choose the empty boxes, then distribute positively into the remaining (3) boxes. In exams split exactly empty into box selection and positive distribution.

Step 2

Why this answer is correct

The correct answer is A. \(^{5}C_2{}^{19}C_2\). First choose the empty boxes, then distribute positively into the remaining (3) boxes. In exams split exactly empty into box selection and positive distribution.

Step 3

Exam Tip

पहले empty boxes चुनें, फिर बाकी (3) boxes में positive distribution करें। परीक्षा में exactly empty को boxes selection और positive distribution में तोड़ें।

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(20) identical balls को (5) boxes में बांटना है और exactly (2) boxes empty हों। सही count कौन-सी है? / (20) identical balls are distributed into (5) boxes and exactly (2) boxes are empty. Which count is correct?

Correct Answer: A. \(^{5}C_2{}^{19}C_2\). Explanation: पहले empty boxes चुनें, फिर बाकी (3) boxes में positive distribution करें। परीक्षा में exactly empty को boxes selection और positive distribution में तोड़ें। / First choose the empty boxes, then distribute positively into the remaining (3) boxes. In exams split exactly empty into box selection and positive distribution.

Which concept should I revise for this Mathematics MCQ?

First choose the empty boxes, then distribute positively into the remaining (3) boxes. In exams split exactly empty into box selection and positive distribution.

What exam hint can help solve this Mathematics question?

पहले empty boxes चुनें, फिर बाकी (3) boxes में positive distribution करें। परीक्षा में exactly empty को boxes selection और positive distribution में तोड़ें।