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Chapter 13: Q. 45 (page 855)

Arranging Books Five different mathematics books are to be arranged on a student's desk. How many arrangements are possible?

Short Answer

Expert verified

There are 120 ways to arrange 5 books.

Step by step solution

01

Step 1. Given information.

The total number of books is 5.
We need to arrange books on a student's desk.

02

Step 2. Determine the possible ways of arrangement. 

This is an example of a permutation without repetition.

Permutation formula is:

P(n,r)=n!(n-r)!

The number of ways to arrange 5 books is P(5,5).

P(5,5)=5!(5-5)!=5!0!=5·4·3·2·11=120

03

Step 3. Conclusion.

There are 120 ways to arrange 5 books.

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