SOLUTION: 10 students are lined up to be seated. in how many ways can 3 of them be seated in a row of 3 chairs? can you help me with this?....thank you so much

Algebra ->  Permutations -> SOLUTION: 10 students are lined up to be seated. in how many ways can 3 of them be seated in a row of 3 chairs? can you help me with this?....thank you so much       Log On


   

Question 1173428: 10 students are lined up to be seated.
in how many ways can 3 of them be seated in a row of 3 chairs?
can you help me with this?....thank you so much
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Any of 10 students can be seated on the 1st chair, giving 10 options;

any of remaining 9 students can be seated on the 2nd chair, giving 9 options;

any of remaining 8 students can be seated on the 3rd chair, giving 8 options.


In all,  finally,  there are  10*9*8 = 720  ways to line them on 3 chairs.       ANSWER


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This problem is about PERMUTATIONS.

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.