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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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(9) distinct books are to be placed on (3) labeled shelves. Each shelf must contain at least one book, and the order of books on each shelf matters. How many ways are possible?

Answer and explanation

Correct answer: (10160640)

First arrange the (9) books in a row and place (2) dividers in the (8) gaps. The divider method is useful for labeled shelves.

Related tags

BooksShelvesDivider-MethodFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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