SOLUTION: In a shipment of 19 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 5 smartphones, of which 2 are defective?

Algebra ->  Permutations -> SOLUTION: In a shipment of 19 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 5 smartphones, of which 2 are defective?       Log On


   



Question 1145345: In a shipment of 19 smartphones, 2 are defective. How many ways can a quality control inspector randomly test 5 smartphones, of which 2 are defective?

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

In each such a group, there are 3 good and 2 defective items.


So, the number of ways is equal  C%5B19-2%5D%5E3 = C%5B17%5D%5E3 = %2817%2A16%2A15%29%2F%281%2A2%2A3%29 = 680.    ANSWER

Solved.

------------------

It is about 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.