एक प्रतियोगिता में (8) छात्रों में से प्रथम, द्वितीय और तृतीय पुरस्कार दिए जाते हैं। दो विशेष छात्र दोनों पुरस्कार-सूची में साथ नहीं आ सकते। कुल पुरस्कार-वितरण कितने होंगे?

In a competition, first, second, and third prizes are awarded among (8) students. Two particular students cannot both appear in the prize list. How many prize assignments are possible?

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Correct Answer

D. (324)

Step 1

Concept

Total assignments are \(8 \times 7 \times 6\). If both special students appear, choose the third from (6) students and arrange the (3) winners.

Step 2

Why this answer is correct

The correct answer is D. (324). Total assignments are \(8 \times 7 \times 6\). If both special students appear, choose the third from (6) students and arrange the (3) winners.

Step 3

Exam Tip

कुल \(8 \times 7 \times 6\) वितरण हैं। दोनों विशेष छात्र आने पर तीसरा स्थान (6) छात्रों में से और क्रम (3!) होगा।

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एक प्रतियोगिता में (8) छात्रों में से प्रथम, द्वितीय और तृतीय पुरस्कार दिए जाते हैं। दो विशेष छात्र दोनों पुरस्कार-सूची में साथ नहीं आ सकते। कुल पुरस्कार-वितरण कितने होंगे? / In a competition, first, second, and third prizes are awarded among (8) students. Two particular students cannot both appear in the prize list. How many prize assignments are possible?

Correct Answer: D. (324). Explanation: कुल \(8 \times 7 \times 6\) वितरण हैं। दोनों विशेष छात्र आने पर तीसरा स्थान (6) छात्रों में से और क्रम (3!) होगा। / Total assignments are \(8 \times 7 \times 6\). If both special students appear, choose the third from (6) students and arrange the (3) winners.

Which concept should I revise for this Mathematics MCQ?

Total assignments are \(8 \times 7 \times 6\). If both special students appear, choose the third from (6) students and arrange the (3) winners.

What exam hint can help solve this Mathematics question?

कुल \(8 \times 7 \times 6\) वितरण हैं। दोनों विशेष छात्र आने पर तीसरा स्थान (6) छात्रों में से और क्रम (3!) होगा।