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  • How many ways can 6 distinct books be arranged on a shelf, if 2 particular books must be together?  Option: 1 240<div cl

How many ways can 6 distinct books be arranged on a shelf, if 2 particular books must be together?

 

Option: 1

240


Option: 2

720


Option: 3

960


Option: 4

1440


Answers (1)

best_answer

 To find the number of ways to arrange 6 distinct books on a shelf, with 2 particular books being together, we can treat these two books as a single entity.

Let's consider these two books as a pair. Now we have 5 entities to arrange: the pair of two books and the other 4 distinct books.

We can arrange these 5 entities (pair of books and 4 other books) in 5 ! =120 Within the pair of books, the two books can be arranged in 2 ! = 2  ways.
Therefore, the total number of ways to arrange the 6 distinct books on the shelf, with the two particular books together, is 120 \times 2=240  
So, there are 240 different ways to arrange the 6 distinct books on the shelf, considering the requirement that the two particular books must be together.

 

 

 

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vinayak

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