(6) विवाहित जोड़ों में से (4) लोगों को चुनना है ताकि कोई पूरा जोड़ा न चुना जाए। कितने चयन संभव हैं?

From (6) married couples, (4) people are to be selected so that no complete couple is selected. How many selections are possible?

Explanation opens after your attempt
Correct Answer

B. (240)

Step 1

Concept

Choose (4) couples from (6) and then choose (1) person from each selected couple. The number is \(^{6}C_{4}\times2^{4}=240\).

Step 2

Why this answer is correct

The correct answer is B. (240). Choose (4) couples from (6) and then choose (1) person from each selected couple. The number is \(^{6}C_{4}\times2^{4}=240\).

Step 3

Exam Tip

पहले (6) जोड़ों में से (4) जोड़े चुनें और हर चुने जोड़े से (1) व्यक्ति चुनें। संख्या \(^{6}C_{4}\times2^{4}=240\)।

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Mathematics Answer, Explanation and Revision Hints

(6) विवाहित जोड़ों में से (4) लोगों को चुनना है ताकि कोई पूरा जोड़ा न चुना जाए। कितने चयन संभव हैं? / From (6) married couples, (4) people are to be selected so that no complete couple is selected. How many selections are possible?

Correct Answer: B. (240). Explanation: पहले (6) जोड़ों में से (4) जोड़े चुनें और हर चुने जोड़े से (1) व्यक्ति चुनें। संख्या \(^{6}C_{4}\times2^{4}=240\)। / Choose (4) couples from (6) and then choose (1) person from each selected couple. The number is \(^{6}C_{4}\times2^{4}=240\).

Which concept should I revise for this Mathematics MCQ?

Choose (4) couples from (6) and then choose (1) person from each selected couple. The number is \(^{6}C_{4}\times2^{4}=240\).

What exam hint can help solve this Mathematics question?

पहले (6) जोड़ों में से (4) जोड़े चुनें और हर चुने जोड़े से (1) व्यक्ति चुनें। संख्या \(^{6}C_{4}\times2^{4}=240\)।