SOLUTION: Find the number of ways in which 5 large books, 4 medium-size books and 3 small books can be placed on a shelf so that all books with the same size are together?

SOLUTION: Find the number of ways in which 5 large books, 4 medium-size books and 3 small books can be placed on a shelf so that all books with the same size are together?

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Question 993644: Find the number of ways in which 5 large books, 4 medium-size books and 3 small books can be placed on a shelf so that all books with the same size are together?
Answer by fractalier(6550) (Show Source): You can put this solution on YOUR website!
Since all the books of the same size must be together, you effectively have but three groups, not twelve books...
Thus three groups, call them A, B, and C, can only be arranged in six ways:
ABC, ACB, BAC, BCA, CAB, and CBA.
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