Posted by Katie on Sunday, September 25, 2011 at 5:39pm.
There are 3! =6 ways to order the three separate topics.
For each of these ways, there are 4! ways to arrange the algebra books, 2! ways for the geometry books, and 3! ways for the pre-cal books.
So, in all, there are 3! 4! 2! 3! = 6*24*2*6 = 1728 ways.
Note that if the subjects did not have to be kept together, there would be 9! = 362880 ways.
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