SOLUTION: There are 6 boys who enter a boat with 8 seats, 4 on each side. In how many ways can they sit anywhere on the boat?

Question 1191835: There are 6 boys who enter a boat with 8 seats, 4 on each side. In how many ways can they sit anywhere on the boat?
Answer by ikleyn(52794) (Show Source): You can put this solution on YOUR website!
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There are 6 boys who enter a boat with 8 seats, 4 on each side.
In how many ways can they sit anywhere on the boat?
~~~~~~~~~~~~~~

Let us assume that all seats are numbered from 1 to 8.


1st boy can sit any of 8 seats.

2nd boy can sit any of remaining 7 seats.

3rd boy can sit  . . . and so on . . . 


Finally, there are 8*7*6*5*4*3 = 20160 different sitting permutations (arrangements).    ANSWER

Solved.

---------------

This problem is on PERMUTATIONS.

On Permutations, see introductory lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Simple and simplest problems on permutations
    - Special type permutations problems
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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