SOLUTION: Suppose that you have 3 different math books, 4 different chemistry books, and 5 different biology books that you wish to put on a bookshelf. In how many ways can this be done

Question 745083: Suppose that you have 3 different math books, 4 different chemistry books, and 5 different
biology books that you wish to put on a bookshelf. In how many ways can this be done if
all of the books of each type must be placed together (all of the math books need to be
together, all of the chemistry books need to be together, and all of the biology books
need to be together)?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Suppose that you have 3 different math books, 4 different chemistry books, and 5 different
biology books that you wish to put on a bookshelf. In how many ways can this be done if
all of the books of each type must be placed together (all of the math books need to be
together, all of the chemistry books need to be together, and all of the biology books
need to be together)?
------
1st: Think of each set of books as one book:
# of ways to arrange these sets is 3! = 6
----
2nd: Think of the # of arrangements of each set: 3!*4!*5!
------
Multiply to get the final # of arrangements: 6*6*24*120 = 103680
==============
Cheers,
Stan H.
===============
RELATED QUESTIONS
You have four different history books, three different biology books, and two different... (answered by jorel1380)

You have four different history books, three different biology books, and two different... (answered by stanbon)

Suppose you have 30 books (15 novels, 10 history books, and 5 math books). Assume that... (answered by math_helper)

Suppose you have a summer reading list with 15 books and you have to read 3. How many... (answered by jim_thompson5910)

Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are... (answered by jrfrunner)

There are 3 math books and 3 history books that are to be arranged on a shelf. How many... (answered by greenestamps,Edwin McCravy)

4 different math books, 6 different physics books and 2 different chemistry books are to... (answered by Susan-math)

There are 3 math books and 3 history books that are to be arranged on a shelf. How many... (answered by greenestamps,ikleyn)

2)In how many ways can 3 different Mathematics, 2 different Physics and 4 different... (answered by sudhanshu_kmr)