SOLUTION: A box of 10 articles contains one that is defective. In how many ways can Ken select 4 articles such that the defective article is included?

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Question 1175061: A box of 10 articles contains one that is defective. In how many ways can Ken select 4 articles such that the
defective article is included?
Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
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In  C%5B9%5D%5E3 ways, by adding 3 arbitrary articles taken at a time from 9 good articles.


The number  C%5B9%5D%5E3  is  %289%2A8%2A7%29%2F%281%2A2%2A3%29 = 84.    ANSWER

Solved, answered and explained.

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This problem is on COMBINATIONS.

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.