SOLUTION: Patricia owns all thirteen books in the A Series of Unfortunate Events series. In how many different orders can she place all of them on the top shelf of her bookshelf?

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Question 1154962: Patricia owns all thirteen books in the A Series of Unfortunate Events series. In how many different orders can she place all of them on the top shelf of her bookshelf?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

Any one of 13 volumes she can place to the first position;

any one of remaining 12 volumes she can place to the second position;

any one of remaining 11 volumes she can place to the third position,


   . . . . . . . . and so on . . . . . 


till the last, 13-th volume;


which gives her  13! = 13*12*11*10*9*8*7*6*5*4*3*2*1  options,  in all.


  +-----------------------------------------------------------------+
  |                                                                 |
  |  Any set of n different objects has n! different permutations.  |
  |                                                                 |
  +-----------------------------------------------------------------+


Congratulations !

For the first time in your life, I presented you this famous basic problem on PERMUTATIONS (!)

Happy learning (!)

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On Permutations,  see introductory lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations

    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.