SOLUTION: In how many ways can a teacher arrange 10 students in the front row if there are 60 total students?

Question 1119790: In how many ways can a teacher arrange 10 students in the front row if there are 60 total students?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

In  60*59*58*57*56*55*54*53*52*51 = 273589847231501000  ways, if the order in the first row does matter,   or


the same number divided by 10! = 3628800,  i.e.  in  75394027566  ways, if the order does not matter.

To better understand the subject, read the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on 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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