(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

3. 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

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# Homework Help: I always hate this - combination / permutation

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