SOLUTION: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are mathematics books, 3 are chemistry books, 2 are history books, and 1 is a language book. Jones want
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-> SOLUTION: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are mathematics books, 3 are chemistry books, 2 are history books, and 1 is a language book. Jones want
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Question 346754: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are mathematics books, 3 are chemistry books, 2 are history books, and 1 is a language book. Jones wants to arrange his books so that all the books dealing with same subject are together on the shelf. How many different arrangements are possible? Answer by jrfrunner(365) (Show Source):
You can put this solution on YOUR website! there are 4 types of books (math, chem, hist, language) so there are 4! ways to arrange the type of book.
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Within each topic there are 4! ways to arrange the 4 math books
3! ways to arrange the chem books
2! ways to arrange the hist books
1! ways to arrange the languate book
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in total=ways to arrange type * ways to arrange books within each type
there are 4!*(4!*3!2!*1)=24*24*6*2=6912 ways to arrange the books
