SOLUTION: There are 6 Math books, 4 English books and 7 Filipino books on a shelf. How many ways can you arrange all books such that the books of the same subject are kept together?

Algebra ->  Permutations -> SOLUTION: There are 6 Math books, 4 English books and 7 Filipino books on a shelf. How many ways can you arrange all books such that the books of the same subject are kept together?       Log On


   

Question 1178351: There are 6 Math books, 4 English books and 7 Filipino books on a shelf. How many ways can you arrange all books such that the books of the same subject are kept together?
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

(6!*4!*7!)*3!   different ways.    ANSWER


6! is the number of permutations inside the block of 6 different Math books.


4! is the number of permutations  inside the block of 4 different English books.


7! is the number of permutations  inside the block of 7 different Filipino books.


3! is the number of permutations of the three blocks of the books.

Solved, answered and explained.

-------------------

On Permutations,  see introductory lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Simple and simplest problems on permutations
    - Special type permutations problems
    - Problems on Permutations with restrictions
    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.