SOLUTION: There are 15 different books. How many groups of 6 books can be selected?

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Question 1177745: There are 15 different books. How many groups of 6 books can be selected?
Answer by ikleyn(52818) About Me  (Show Source):
You can put this solution on YOUR website!
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It is the number of COMBINATIONS of 15 different items taken 6 at a time.



The formula and the answer are 


        C%5B15%5D%5E6 = 15%21%2F%286%21%2A%2815-6%29%21%29 = 15%21%2F%286%21%2A9%21%29 = %2815%2A14%2A13%2A12%2A11%2A10%29%2F%281%2A2%2A3%2A4%2A5%2A6%29 = 5005.   ANSWER

Solved.

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On Combinations,  see introductory 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.