SOLUTION: A fisherman has 12 different trout flies. How many different selections of 3 flies each can he make?

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Question 1186269: A fisherman has 12 different trout flies. How many different selections of 3 flies each can he make?
Answer by ikleyn(52914) About Me  (Show Source):
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A fisherman has 12 different trout flies. How many different selections of 3 flies each can he make?
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12*11*10 = 1320, if the order is important.   (ordered sets, permutations).


C%5B12%5D%5E3 = %2812%2A11%2A10%29%2F%281%2A2%2A3%29 = 2*11*10 = 220,  if the order is not important.  (unordered sets, combinations).

Solved.

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On Combinations and Permutations,  see introductory lessons

    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Simple and simplest problems on permutations

    - 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.