There are 5 green, 1 red, and 1 blue book on the shelf. how many ways can they be arranged if the red and blue book are separated?

3,600

Step-by-step explanation:

There are 5 green, 1 red, and 1 blue book on the shelf, 7 books in total.

First, count the number of ways when the red and the blue books are not separated. If these books are not separated, you can count them as one book, so there are 6 books in total which can be arranged in

different ways.

But red and blue books can be rearranged in two ways: blue, red or red, blue, so the number of ways books can be arranged if the red and blue book are not separated is

Hence, the number of ways books can be arranged if the red and blue book are separated is

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b