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
Algebra.Com
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.
---
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
--
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
RELATED QUESTIONS
Bob has 7 books he wants to put his bookshelf. 1. How many possible arrangements of books (answered by solver91311)
Suppose that you have 3 different math books, 4 different chemistry books, and 5... (answered by stanbon)
There are 2 geometry books, 4 geography books, 5 history books, and 3 physics books. How... (answered by stanbon)
2)In how many ways can 3 different Mathematics, 2 different Physics and 4 different... (answered by sudhanshu_kmr)
in how many ways can 3 maths books,4 history books,3 chemistry books & 2 bio books can be (answered by ewatrrr)
john goes to a bookstore with the intent of buying 4 books about American History and... (answered by lynnlo)
Bert has 10 books and he wants to give 2 of these books to his sister. How many different (answered by Fombitz)
A bookshelf displays different types of books, 6 books in English (E) and 5 books in... (answered by Solver92311)
Paige Turner loves finite mathematics. She has 5 books about probability and 4 books... (answered by Edwin McCravy)