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19 votes
19 votes
You need to arrange five of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the booksmakes a difference to you?

User Justin Pihony
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3.1k points

2 Answers

13 votes
13 votes
The answer is 120 ways to arrange
User Fatmarik
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3.0k points
23 votes
23 votes

For the first place in the shlef you have 5 possibilities to choose, for the second place you have 4 possibilities, for the third you have three possibilities and so on. This means that we can find the number of ways to arrange the books with a factorial, that is:


5!=5\cdot4\cdot3\cdot2\cdot1=120

Therefore, there are 120 ways to arrange your books in the shelf.

User Anton Shchastnyi
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3.2k points
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