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Math Help - arranging books

  1. #1
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    arranging books

    A computer science professor has 7 different programming books on a bookshelf. 3 of the books deal with c++, the other 4 with Java. In how many ways can the professor arrange these books on the shelf if all the c++ books must be next to each other?

    Is there a formula for this?
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  2. #2
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    A computer science professor has 7 different programming books on a bookshelf. 3 of the books deal with c++, the other 4 with Java. In how many ways can the professor arrange these books on the shelf if all the c++ books must be next to each other?

    Is there a formula for this?

    treat the c++ books as one unit.
    then you will have five books
    the number of arrangements for these is 5 x 4 x 3 x 2 x1

    but the c++ books can arrange themselves in 3 x 2 x 1 ways
    total number of ways = 5! x 3! = 720
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