Question

You need to areange six of your favorite books along a small shelf. How many different ways can you arrange the books. Assuming the order of the books makes a difference to you?

Answer 1

There are 720 different ways you can arrange the books on the shelf.

Step-by-step explanation:

When arranging the books on a shelf, you need to determine the number of different ways you can arrange the books. Since the order of the books matters, this is a permutation problem.

The number of ways to arrange the books can be calculated using the formula for permutations: P(n, r) = n! / (n - r)!, where n is the total number of books and r is the number of books you want to arrange.

In this case, there are 6 books and you want to arrange all of them, so the formula becomes P(6, 6) = 6! / (6 - 6)! = 6! / 0! = 6! = 720.

Therefore, there are 720 different ways you can arrange the books on the shelf.

Answer 2

There are 720 ways on arranging 6 books.

Step-by-step explanation:

In this question, order of positions are important so this is a Permutation. So you have to apply Permutation Laws, nPr where n represents number of objects and r is the number of seats :

`nPr`

`let \: n = 6 \\ let \: r = 6`

`6P6 = 720 \: ways`

(Correct me if I am wrong)