SOLUTION: A teacher must choose 6 out of her class of 30 students to take part in a mathematics competition. In how many ways may these 6 students be chosen?

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: A teacher must choose 6 out of her class of 30 students to take part in a mathematics competition. In how many ways may these 6 students be chosen?      Log On


   

Question 1116360: A teacher must choose 6 out of her class of 30 students to take part in a mathematics competition. In how many ways may these 6 students be chosen?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.
In  C%5B30%5D%5E6 = 30%21%2F%2824%21%2A6%21%29 = %2830%2A29%2A28%2A27%2A26%2A25%29%2F%281%2A2%2A3%2A4%2A5%2A6%29 = 593775 ways.


It is about Combinations.

On Combinations,  see the lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - 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.