Question 1044187: Brent started to solve the following probability problem as shown below:
A shipment at a department store contains 40 alarm clocks. 4 of them are defective. If 6 alarm clocks are removed from the shipment at random, find the probability that four of them are defective.
Brent's work: C(4,4) = 4!/4!0! = 1
What is the correct NEXT step to solve the problem?
A)C(40,6) = 40!/6!34! = 3,838,380
B)P(40,6) = 40!/34! = 2,763,633,600
C)C(36,2) = 36!/2!34! = 630
D)P(4,4) = 4!/0! = 4
Answer by ikleyn(52780)   (Show Source):
You can put this solution on YOUR website! .
Brent started to solve the following probability problem as shown below:
A shipment at a department store contains 40 alarm clocks. 4 of them are defective. If 6 alarm clocks
are removed from the shipment at random, find the probability that four of them are defective.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Brent's work: C(4,4) = 4!/4!0! = 1 <--- This line is irrelevant to the problem.
What is the correct NEXT step to solve the problem?
A) C(40,6) = 40!/6!34! = 3,838,380 <--- This step is correct.
B) P(40,6) = 40!/34! = 2,763,633,600
C) C(36,2) = 36!/2!34! = 630
D) P(4,4) = 4!/0! = 4
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