Class 11 Mathematics Permutations and Combinations Combinations Expert Level 62

(8) पुरुष और (6) महिलाओं में से (5) सदस्यों की समिति बनानी है जिसमें कम से कम (3) महिलाएं हों। कितने चयन संभव हैं?

From (8) men and (6) women, a committee of (5) is to be formed with at least (3) women. How many selections are possible?

Explanation opens after your attempt
Correct Answer

C. (560)

Step 1

Concept

Cases are (3W2M), (4W1M), and (5W0M). The value is \(^{6}C_{3}{}^{8}C_{2}+^{6}C_{4}{}^{8}C_{1}+^{6}C_{5}=560\).

Step 2

Why this answer is correct

The correct answer is C. (560). Cases are (3W2M), (4W1M), and (5W0M). The value is \(^{6}C_{3}{}^{8}C_{2}+^{6}C_{4}{}^{8}C_{1}+^{6}C_{5}=560\).

Step 3

Exam Tip

मामले (3W2M), (4W1M), (5W0M) हैं। मान \(^{6}C_{3}{}^{8}C_{2}+^{6}C_{4}{}^{8}C_{1}+^{6}C_{5}=560\)।

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Mathematics Answer, Explanation and Revision Hints

(8) पुरुष और (6) महिलाओं में से (5) सदस्यों की समिति बनानी है जिसमें कम से कम (3) महिलाएं हों। कितने चयन संभव हैं? / From (8) men and (6) women, a committee of (5) is to be formed with at least (3) women. How many selections are possible?

Correct Answer: C. (560). Explanation: मामले (3W2M), (4W1M), (5W0M) हैं। मान \(^{6}C_{3}{}^{8}C_{2}+^{6}C_{4}{}^{8}C_{1}+^{6}C_{5}=560\)। / Cases are (3W2M), (4W1M), and (5W0M). The value is \(^{6}C_{3}{}^{8}C_{2}+^{6}C_{4}{}^{8}C_{1}+^{6}C_{5}=560\).

Which concept should I revise for this Mathematics MCQ?

Cases are (3W2M), (4W1M), and (5W0M). The value is \(^{6}C_{3}{}^{8}C_{2}+^{6}C_{4}{}^{8}C_{1}+^{6}C_{5}=560\).

What exam hint can help solve this Mathematics question?

मामले (3W2M), (4W1M), (5W0M) हैं। मान \(^{6}C_{3}{}^{8}C_{2}+^{6}C_{4}{}^{8}C_{1}+^{6}C_{5}=560\)।