SOLUTION: A shipment of 141 laptops contains 7 defective laptops. A quality control specialist chooses a sample of 8 laptops from the shipment. How many possible choices of 8 laptops can

Algebra.Com
Question 1192164: A shipment of 141 laptops contains 7 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?

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
A shipment of 141 laptops contains 7 defective laptops.
A quality control specialist chooses a sample of 8 laptops from the shipment.
(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) How many of the possible selections will contain at least one defective laptop?
(d) How many of the possible selections will contain exactly one defective laptop?
~~~~~~~~~~~~~~~~~~~~~ 

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

       =  = 3165326793495.


      If it is boring to you to write so long formulas, you can use an Excel standard function combin(141,8).



(b)   How many of these possible selections will not contain any defective laptops?

       =  = 1959267085776.



(c)   How many of the possible selections will contain at least one defective laptop?

      This number is   -  = (a) - (b) = combin(141,8) - combin(133,8) = 3165326793495 - 1959267085776 = 1206059707719.



(d)    How many of the possible selections will contain exactly one defective laptop?

       . = 8*combin(133,7) = 8*124397910208 = 995183281664.

Solved.     //     All questions are answered.



RELATED QUESTIONS

A shipment of 93 laptops contains 6 defective laptops. A quality control specialist... (answered by ikleyn)
A shipment of 102 laptops contains 10 defective laptops. A quality control specialist... (answered by Boreal)
A shipment of 140 laptops contains 6 defective laptops. A quality control specialist... (answered by MathLover1,ikleyn)
A shipment of 105 laptops contains 5 defective laptops. A quality control specialist... (answered by MathLover1,ikleyn)
In a shipment of 100 laptops, 6 are defective. If a person buys two laptops from that... (answered by stanbon)
a retailer takes delivery of a consignment of 40 laptops. unknown to the retailer, there... (answered by edjones)
A shipment of 22 fuses contains 3 defective fuses. A quality control specialist chooses a (answered by KMST)
A collection of 22 laptops include six defective laptops. If a sample of three laptops is (answered by jim_thompson5910)
A shipments of 320 laptops contains 7 defective units. What is the probability of a... (answered by stanbon)