- #1

kenny1999

- 235

- 4

## Homework Statement

I know what's happening with the problem, but I just hate myself drawing all possible arrangements, I think I am too stupid, I hope better solution.

Problems:

6 different Cookery books and 8 different History books are put on bookshelf. How many possible arrangements if no two cookery books can be put next to each other.

## Homework Equations

## The Attempt at a Solution

My first approach was to think about the number of arrangements, without considering the difference within the same category of books. C for cookery , H for history

then CHCHCHCHCHCHHH

HCHCHCHCHCHCHH

...

then it comes to a hard time, stupid time, trying to figure out all possiblity by human minds.

It is very easy to make mistakes and very time consuming and hateful...

I think I am too stupid and I don't think it's the solution. Would anyone teach me any other possible solution?

Thanks