SOLUTION: Every day of your extended ski vacation, your family of 7 gets in line at the cafeteria, but in a different order. On the last day, however, you can't help repeating a previous ord

Question 1113694: Every day of your extended ski vacation, your family of 7 gets in line at the cafeteria, but in a different order. On the last day, however, you can't help repeating a previous order. How many days did your vacation last?

Answer by ikleyn(52778) (Show Source): You can put this solution on YOUR website!
.

HINT.  The number of permutations of 7 items is 7! = 1*2*3*4*5*6*7 = 5040.

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On Permutations, see the 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.

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