SOLUTION: In a shipment of 20 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 5 smartphones, of which 2 are defective?

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Question 1132853: In a shipment of 20 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 5 smartphones, of which 2 are defective?

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
The quality control inspector can add 3 randomly selected smartphones from the rest of 20-2 = 18 smartphones.


He can do it by  C%5B18%5D%5E3 = %2818%2A17%2A16%29%2F%281%2A2%2A3%29 = 816 ways.    


It is the ANSWER to the problem's question.

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On Combinations,  see the 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.