Class 11 empty-case MCQ Questions

Question 1/1 Hard Mathematics Permutations and Combinations Derivations of formulas and their connections Class 11 Level 66

(14) identical coins को (4) persons में बांटना है और exactly (1) person को कुछ न मिले। Count क्या है?

(14) identical coins are distributed among (4) persons and exactly (1) person gets nothing. What is the count?

Explanation opens after your attempt

Correct Answer

A. \(^{4}C_1\cdot{}^{13}C_2\)

Step 1

Concept

First choose the empty person, then distribute positively among the remaining (3) persons. In exams use choose empty plus positive stars and bars for exactly empty conditions.

Step 2

Why this answer is correct

The correct answer is A. \(^{4}C_1\cdot{}^{13}C_2\). First choose the empty person, then distribute positively among the remaining (3) persons. In exams use choose empty plus positive stars and bars for exactly empty conditions.

Step 3

Exam Tip

पहले empty person चुनें, फिर बाकी (3) persons में positive distribution करें। परीक्षा में exactly empty condition में choose empty plus positive stars-bars लगाएं।

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

Question Hindi:
(14) identical coins को (4) persons में बांटना है और exactly (1) person को कुछ न मिले। Count क्या है?

Question English:
(14) identical coins are distributed among (4) persons and exactly (1) person gets nothing. What is the count?

Options:
A. (^{4}C_1\cdot{}^{13}C_2)
B. (^{4}C_1\cdot{}^{16}C_2)
C. (4^{14})
D. (^{14}C_4)

Correct Answer:
A. (^{4}C_1\cdot{}^{13}C_2)

Explanation Hindi:
पहले empty person चुनें, फिर बाकी (3) persons में positive distribution करें। परीक्षा में exactly empty condition में choose empty plus positive stars-bars लगाएं।

Explanation English:
First choose the empty person, then distribute positively among the remaining (3) persons. In exams use choose empty plus positive stars and bars for exactly empty conditions.

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empty-case MCQ Questions for Class 11

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(14) identical coins को (4) persons में बांटना है और exactly (1) person को कुछ न मिले। Count क्या है?

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empty-case MCQ Questions for Class 11

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(14) identical coins को (4) persons में बांटना है और exactly (1) person को कुछ न मिले। Count क्या है?

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Exam Tip

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