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

Mathematics Permutations And Combinations Derivations of formulas and their connections Expert Class 11 Level 59

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Question 1/1 Expert Mathematics Permutations and Combinations Permutations Class 11 Level 59

(6) अलग-अलग पुस्तकों को एक शेल्फ पर इस प्रकार सजाना है कि (2) निश्चित पुस्तकें साथ-साथ रहें लेकिन उनका आपसी क्रम बदला जा सके। कुल व्यवस्थाओं की संख्या क्या होगी?

(6) distinct books are to be arranged on a shelf so that (2) particular books always remain together but their internal order may change. What is the number of arrangements?

Explanation opens after your attempt
Correct Answer

A. (240)

Step 1

Concept

Treat the two books as one block giving \(5!\times2!\) arrangements. In exams, make a block for objects that must stay together.

Step 2

Why this answer is correct

The correct answer is A. (240). Treat the two books as one block giving \(5!\times2!\) arrangements. In exams, make a block for objects that must stay together.

Step 3

Exam Tip

दो पुस्तकों को एक ब्लॉक मानकर \(5!\times2!\) व्यवस्थाएँ मिलती हैं। परीक्षा में साथ रहने वाली वस्तुओं को ब्लॉक बनाएं।

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