SOLUTION: You have four different history books, three different biology books, and two different math books. In how many different ways can you line these books up on a shelf if books of th

Question 427651: You have four different history books, three different biology books, and two different math books. In how many different ways can you line these books up on a shelf if books of the same type have to be next to each other?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
You have four different history books, three different biology books, and two different math books. In how many different ways can you line these books up on a shelf if books of the same type have to be next to each other?
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There are 3! = 6 ways to arrange the 3 sets of books.
There are 4!*3!*2! = 24*6*2 = 288 to arrange the books within the sets.
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Total arrangements = 6*288 = 1728
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Cheers,
Stan H.
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