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In an attempt to clean up your room, you have purchased a new floating shelf to...

In an attempt to clean up your room, you have purchased a new floating shelf to put some of your 17 books you have stacked in a corner. Thesebooksareallbydifferentauthors. Thenewbookshelf islargeenoughtohold10ofthebooks.

(a) Howmanywayscanyouselectandarrange10ofthe17books ontheshelf? Noticethatherewewillallowthebookstoendup inanyorder. Explain.

(b) Howmanywayscanyouarrange10ofthe17booksontheshelf if you insist they must be arranged alphabetically by author? Explain.

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