Due Sun 02/25/2018 11:59 pm A shipment of 81 laptops contains 8 defective laptop

Question

Due Sun 02/25/2018 11:59 pm A shipment of 81 laptops contains 8 defective laptops. A quality control specialist chooses a sample of 5 laptops from the shipment. How many possible choices of 5 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? Points possible: 1 License This is attempt 1 of 1.

Explanation / Answer

Solution:

total number of laptops = 81

number of defective laptops = 8

( a )

possible choises of 5 laptops = 81C5 = 25621596

( b )

number of choises that contain no defective laptops = 81-8C5 = 73C5 = 15020334

( c )

number of choises that contain atleast one defective laptop = 8C1*73C4 +  8C2*73C3 +  8C3*73C2 + 8C4*73C1

+ 8C5*73C0

= 10661262

( d )

number of choises that contain exactly one defective laptop = 8C1*73C4 = 8767440

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