Class 11 Mathematics - Permutations And Combinations - Derivations of formulas and their connections Hard Quiz

Level 58 • 1/50 questions • 30 seconds per question.

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(9) अलग-अलग वस्तुओं को पंक्ति में व्यवस्थित करना है। तीन विशेष वस्तुएं आपस में साथ रहें लेकिन उनका आंतरिक क्रम निश्चित हो। कितनी व्यवस्थाएं होंगी?

(9) distinct objects are to be arranged in a row. Three particular objects must stay together but their internal order is fixed. How many arrangements are possible?

Explanation opens after your attempt
Correct Answer

A. (5040)

Step 1

Concept

Treat the three objects as a fixed-order block, giving (7) units. Hence there are (7!=5040) arrangements.

Step 2

Why this answer is correct

The correct answer is A. (5040). Treat the three objects as a fixed-order block, giving (7) units. Hence there are (7!=5040) arrangements.

Step 3

Exam Tip

तीन वस्तुओं को fixed-order ब्लॉक मानें, तब (7) इकाइयां बनती हैं। इसलिए (7!=5040) व्यवस्थाएं होंगी।

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