(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
A. (2880)
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 \(4\cdot2!\cdot6!=5760\).
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 \(4\cdot2!\cdot6!=5760\).
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।
Login to save your score, XP, coins and progress.