SOLUTION: The student association each year selects a council consisting of seven members. if there are 10 candidates for the seven member council, how many different councils may be elected

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Question 1061363: The student association each year selects a council consisting of seven members. if there are 10 candidates for the seven member council, how many different councils may be elected?
Answer by ikleyn(52788) About Me  (Show Source):
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The student association each year selects a council consisting of seven members.
if there are 10 candidates for the seven member council, how many different councils may be elected?
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C%5B10%5D%5E7 = 10%21%2F%283%21%2A7%21%29 = %2810%2A9%2A8%29%2F%281%2A2%2A3%29 = 10*3*2 = 60.

Answer. There are 60 ways to do it.

The symbol C%5B10%5D%5E7 is the number of combinations of 10 things taken 7 at a time.


On combinations, see the 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".