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opposite seats MCQ Questions for Class 11

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Question 1/1 Expert Mathematics Permutations and Combinations Permutations Class 11 Level 60

(10) अलग-अलग लोगों की गोल बैठक में (A) और (B) ठीक विपरीत सीटों पर बैठें, तो व्यवस्थाओं की संख्या कितनी है?

In a circular seating of (10) distinct people on equally spaced seats, (A) and (B) must sit exactly opposite each other. How many arrangements are possible?

Explanation opens after your attempt
Correct Answer

A. (80640)

Step 1

Concept

Fix (A); the opposite seat for (B) is fixed, and the remaining (8) people can be arranged in (8!) ways. Exam tip: fix one person to remove circular symmetry.

Step 2

Why this answer is correct

The correct answer is A. (80640). Fix (A); the opposite seat for (B) is fixed, and the remaining (8) people can be arranged in (8!) ways. Exam tip: fix one person to remove circular symmetry.

Step 3

Exam Tip

(A) को स्थिर करें, (B) की विपरीत सीट निश्चित है, और बाकी (8) लोग (8!) तरीकों से बैठते हैं। परीक्षा में circular symmetry हटाने के लिए एक व्यक्ति को स्थिर करें।

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