(8) अलग-अलग वस्तुओं को वृत्त में कितने तरीकों से रखा जाए ताकि एक विशेष वस्तु दो दी गई वस्तुओं के बीच न हो?

In how many ways can (8) distinct objects be arranged in a circle so that one particular object is not between two given objects?

Explanation opens after your attempt
Correct Answer

A. (4320)

Step 1

Concept

Total circular arrangements are (7!). If the particular object has the two given objects as neighbours, they can be placed around it in (2!) ways and the rest in (5!) ways. The answer is (5040-240=4800).

Step 2

Why this answer is correct

The correct answer is A. (4320). Total circular arrangements are (7!). If the particular object has the two given objects as neighbours, they can be placed around it in (2!) ways and the rest in (5!) ways. The answer is (5040-240=4800).

Step 3

Exam Tip

कुल गोल व्यवस्थाएं (7!) हैं। विशेष वस्तु के दोनों पड़ोसी वे दो दी गई वस्तुएं हों तो उन्हें विशेष वस्तु के पास (2!) तरीकों से रखकर बाकी (5!) तरीके मिलते हैं। उत्तर (5040-240=4800) है।

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Mathematics Answer, Explanation and Revision Hints

(8) अलग-अलग वस्तुओं को वृत्त में कितने तरीकों से रखा जाए ताकि एक विशेष वस्तु दो दी गई वस्तुओं के बीच न हो? / In how many ways can (8) distinct objects be arranged in a circle so that one particular object is not between two given objects?

Correct Answer: A. (4320). Explanation: कुल गोल व्यवस्थाएं (7!) हैं। विशेष वस्तु के दोनों पड़ोसी वे दो दी गई वस्तुएं हों तो उन्हें विशेष वस्तु के पास (2!) तरीकों से रखकर बाकी (5!) तरीके मिलते हैं। उत्तर (5040-240=4800) है। / Total circular arrangements are (7!). If the particular object has the two given objects as neighbours, they can be placed around it in (2!) ways and the rest in (5!) ways. The answer is (5040-240=4800).

Which concept should I revise for this Mathematics MCQ?

Total circular arrangements are (7!). If the particular object has the two given objects as neighbours, they can be placed around it in (2!) ways and the rest in (5!) ways. The answer is (5040-240=4800).

What exam hint can help solve this Mathematics question?

कुल गोल व्यवस्थाएं (7!) हैं। विशेष वस्तु के दोनों पड़ोसी वे दो दी गई वस्तुएं हों तो उन्हें विशेष वस्तु के पास (2!) तरीकों से रखकर बाकी (5!) तरीके मिलते हैं। उत्तर (5040-240=4800) है।