(9) अलग-अलग पुरस्कारों में से (3) पुरस्कार प्रदर्शनी में रखने हैं और एक खास पुरस्कार नहीं रखना है। कितने तरीके हैं?

From (9) different prizes, (3) prizes are to be kept in an exhibition and one particular prize must not be kept. How many ways are there?

Explanation opens after your attempt
Correct Answer

B. (56)

Step 1

Concept

After removing one particular prize, (8) prizes remain. Hence there are \(\binom{8}{3}=56\) ways.

Step 2

Why this answer is correct

The correct answer is B. (56). After removing one particular prize, (8) prizes remain. Hence there are \(\binom{8}{3}=56\) ways.

Step 3

Exam Tip

एक खास पुरस्कार हटाने पर (8) पुरस्कार बचते हैं। इसलिए \(\binom{8}{3}=56\) तरीके हैं।

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Mathematics Answer, Explanation and Revision Hints

(9) अलग-अलग पुरस्कारों में से (3) पुरस्कार प्रदर्शनी में रखने हैं और एक खास पुरस्कार नहीं रखना है। कितने तरीके हैं? / From (9) different prizes, (3) prizes are to be kept in an exhibition and one particular prize must not be kept. How many ways are there?

Correct Answer: B. (56). Explanation: एक खास पुरस्कार हटाने पर (8) पुरस्कार बचते हैं। इसलिए \(\binom{8}{3}=56\) तरीके हैं। / After removing one particular prize, (8) prizes remain. Hence there are \(\binom{8}{3}=56\) ways.

Which concept should I revise for this Mathematics MCQ?

After removing one particular prize, (8) prizes remain. Hence there are \(\binom{8}{3}=56\) ways.

What exam hint can help solve this Mathematics question?

एक खास पुरस्कार हटाने पर (8) पुरस्कार बचते हैं। इसलिए \(\binom{8}{3}=56\) तरीके हैं।