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  • How many different ways are there for placing four books together in a row of five books and six notes?Option: 1 376480<div c

How many different ways are there for placing four books together in a row of five books and six notes?

Option: 1

376480


Option: 2

120960


Option: 3

432680


Option: 4

967680


Answers (1)

best_answer

Given that,

There are 5 books and 6 notes.

Let us treat the group of four books as a single entity. 

Then we have 8 entities to arrange: {4 books}, {book}, {note}, {note}, {note}, {note}, {note},{note}. 

There are 8! ways to arrange these entities.

Within the group of 4 books, there are 4! ways to arrange the books. 

Therefore, the total number of arrangements in which the four books placed together is:

8! \times 4! =967680

So there are 967680 different ways to arrange the row of five books and six notes so that the four books are placed together.

 

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