SOLUTION: In how many ways can you place 9 different books on a shelf if there is space for only 5 books?

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Question 1100741: In how many ways can you place 9 different books on a shelf if there is space for only 5 books?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
There are 9 choices for the book to place at the left end of the shelf.
Whatever book you choose,
there are 9-1=8 books to choose for the next place on the shelf.
So far, you had 9%2A8 different choices.
You keep choosing what book to place on the shelf to the right of the books already on the shelf.
Eventually, there are 5 books on the shelf and 9-5=4 books that were left.
The total number of different possible ways to place 5 of those 9 books on the shelf is
9%2A8%2A7%2A6%2A5=highlight%2815120%29 .