SOLUTION: A shipment of 140 laptops contains 6 defective laptops. A quality control specialist chooses a sample of 8 laptops from the shipment. How many possible choices of 8 laptops can

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Question 1203662: A shipment of 140 laptops contains 6 defective laptops. A quality control specialist chooses a sample of 8 laptops from the shipment.
How many possible choices of 8 laptops can be made?
How many of these possible selections will not contain any defective laptops?
How many of the possible selections will contain at least one defective laptop?
How many of the possible selections will contain exactly one defective laptop?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

(a) How many possible choices of 8 laptops can be made?



(b) How many of these possible selections will not contain any defective laptops?
C%28%28140-8%29%2C8%29+=+C%28132%2C8%29+=+1841416434000


(c) How many of the possible selections will contain at least one defective laptop?
C%28140%2C8%29++-+C%28132%2C8%29+=+2985733783935+-+1841416434000+=+1144317349935


(d) How many of the possible selections will contain exactly one defective laptop?
C%288%2C1%29%2AC%28132%2C7%29+=+8%2A117850651776+=++942805214208

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.

In the post by @MathLover1,  the solutions,  the numbers and the answers to  (b),  (c)  and  (d)  are incorrect.


She made the same errors that I fixed in my previous post

https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1203663.html


If you are a conscientious student wishing to learn the subject,  solve this problem on your own.

For it,  follow my solution for the  TWIN  problem under the above-mentioned link.
Use that solution as your  TEMPLATE  and solve this current problem by the same way.


Do not forget to post your  " THANKS "  to me for my teaching.