You need to arrange four of your favorite books along a small shelf. How many different ways can you arrange the books assuming the order of the books make a difference

Well per book there are 4 spots it could be in. So the ratio of books per spots is 1:4, you multiply this by 4 because of four books and her 4:16, making the amount of ways to set them being 16.

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Anshuyadav Anshuyadav · Answer 2 · 2022-07-29T05:07:14+02:00

There are total 24 different ways to arrange 4 books in a small shelf.

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matter.

According to the given question.

Total number of books = 4.

Since, we have to arrange these four books in a small shelf in a different ways.

So,

There are total 4 ways to put the first book in a first place.

To arrange the second book only 3 places are left. So, there are total 3 ways to arrange the second book.

Now, we have two places are left to arrange the third book. So, the third book can be arranged in 2 ways.

Similarly, the last book can be arranged by only one way.

Therefore,

Total number of different ways of arranging 4 different books

= 4!

= 4 × 3 ×2 ×1

= 24 ways

Which is the number of permutation of 4 books.

hence, there are total 24 different ways to arrange 4 books in a small shelf.

Find out more information about permutation here:

https://brainly.com/question/14368656

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