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