Class 11 nonempty-boxes MCQ Questions

Question 1/1 Expert Mathematics Permutations and Combinations Derivations of formulas and their connections Class 11 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?

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

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

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

Options:
A. (^{6}C_3{}^{17}C_2)
B. (^{6}C_3{}^{20}C_2)
C. (^{23}C_5)
D. (6^{18})

Correct Answer:
A. (^{6}C_3{}^{17}C_2)

Explanation Hindi:
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।

Explanation English:
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.

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nonempty-boxes MCQ Questions for Class 11

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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?

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nonempty-boxes MCQ Questions for Class 11

Practice Questions

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

Concept

Why this answer is correct

Exam Tip

nonempty-boxes Revision Links

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