SOLUTION: Find the number of different ways that an instructor can choose 6 students from a class of 10 students for a field trip.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Find the number of different ways that an instructor can choose 6 students from a class of 10 students for a field trip.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1198801: Find the number of different ways that an instructor can choose 6 students from a class of 10 students for a field trip.
Answer by ikleyn(52914) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is the number of combinations of 10 students taken 6 at a time

    C%5B10%5D%5E6 = 10%21%2F%286%21%2A4%21%29 = %2810%2A9%2A8%2A7%29%2F%281%2A2%2A3%2A4%29 = 210.    ANSWER

Solved.

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

On  Combinations,  see introductory lessons
    - 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.