Class 11 Mathematics Permutations and Combinations Derivations of formulas and their connections Hard Level 64

(6) men और (5) women में से (4) person committee बनानी है जिसमें exactly (2) women हों। कौन-सा formula सही है?

A (4)-person committee is to be formed from (6) men and (5) women with exactly (2) women. Which formula is correct?

Explanation opens after your attempt
Correct Answer

A. \(^{5}C_2\cdot^{6}C_2\)

Step 1

Concept

With exactly (2) women the remaining (2) must be men. In exams use cases or direct product of combinations for exactly conditions.

Step 2

Why this answer is correct

The correct answer is A. \(^{5}C_2\cdot^{6}C_2\). With exactly (2) women the remaining (2) must be men. In exams use cases or direct product of combinations for exactly conditions.

Step 3

Exam Tip

Exactly (2) women के साथ बाकी (2) men चुनने होंगे। परीक्षा में exactly condition में cases या direct product of combinations लगाएं।

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(6) men और (5) women में से (4) person committee बनानी है जिसमें exactly (2) women हों। कौन-सा formula सही है? / A (4)-person committee is to be formed from (6) men and (5) women with exactly (2) women. Which formula is correct?

Correct Answer: A. \(^{5}C_2\cdot^{6}C_2\). Explanation: Exactly (2) women के साथ बाकी (2) men चुनने होंगे। परीक्षा में exactly condition में cases या direct product of combinations लगाएं। / With exactly (2) women the remaining (2) must be men. In exams use cases or direct product of combinations for exactly conditions.

Which concept should I revise for this Mathematics MCQ?

With exactly (2) women the remaining (2) must be men. In exams use cases or direct product of combinations for exactly conditions.

What exam hint can help solve this Mathematics question?

Exactly (2) women के साथ बाकी (2) men चुनने होंगे। परीक्षा में exactly condition में cases या direct product of combinations लगाएं।