SOLUTION: a) A portfolio management expert is considering 12 stocks for investment. Only 5 stocks will be selected for inclusion in a portfolio How many different combinations of stocks can

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Question 1192704: a) A portfolio management expert is considering 12 stocks for investment. Only 5 stocks will be selected for inclusion in a portfolio How many different combinations of stocks can be considered?

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
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5 items can be selected from 12 items in  C%5B12%5D%5E5 = %2812%2A11%2A10%2A9%2A8%29%2F%281%2A2%2A3%2A4%2A5%29 = 792  different ways.


It does not matter, what these items are: stocks, students, horses, teachers, cows, professors, cats, dogs, pencils, balls etc.


These numbers  C%5Bn%5D%5Ek  are called COMBINATIONS, the same name is used to denote this combinatorics conception.

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
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.