Concept-wise Practice

distance restriction MCQ Questions for Class 11

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Practice Questions

1 questions tagged with distance restriction.

(8) अलग-अलग वस्तुओं की पंक्ति व्यवस्था में दो विशेष वस्तुओं के बीच ठीक (3) वस्तुएं हों। कितनी व्यवस्थाएं होंगी?

In a row arrangement of (8) distinct objects, exactly (3) objects must lie between two particular objects. How many arrangements are possible?

Explanation opens after your attempt
Correct Answer

A. (2880)

Step 1

Concept

The two particular objects must have positions differing by (4), giving (4) position-pairs and (2!) orders. The remaining objects arrange in (6!) ways, so the total is \(4\cdot2!\cdot6!=5760\).

Step 2

Why this answer is correct

The correct answer is A. (2880). The two particular objects must have positions differing by (4), giving (4) position-pairs and (2!) orders. The remaining objects arrange in (6!) ways, so the total is \(4\cdot2!\cdot6!=5760\).

Step 3

Exam Tip

दो विशेष वस्तुओं के स्थानों में (4) का अंतर होना चाहिए, ऐसे (4) position-pairs हैं और order (2!) है। बाकी (6!) तरीकों से सजेंगे, कुल \(4\cdot2!\cdot6!=5760\) है।

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