Question

Six books need to be placed on a shelf.

You randomly arrange the books on the
shelf from left to right.

Answer 1

Step-by-step explanation:

For

6

books, that means we have

6

spots to put them in.

Our first book has

6

spots it can be in.

Our second book will now have

5

, since one is taken up by the first spot.

The next will have

4

, then

3

,

2

, and

1

. Thus, we can model the number of arrangements as

6

⋅

5

⋅

4

⋅

3

⋅

2

⋅

1

=

6

!

=

720

Therefore, we have

720

ways of arranging

6

books on the shelf.

Hope this helps!