Lesson A shipment containing fair and defective alarm clocks
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<H2>A shipment containing fair and defective alarm clocks</H2> <H3>Problem 1</H3>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. <B>Solution</B> <pre> First find in how many ways 6 alarm clocks can be taken from the entire set of 40 alarm clocks. This number is {{{C[40]^6}}} = {{{40!/(6!34!)}}} = 3,838,380. Next, find in how many ways 2 alarm clocks can be selected from the remaining 40-4 = 36 to get 6 alarm clock, assuming that 4 defective alarm clock are just removed from the total set of 40. This number is {{{C[36]^2}}} = {{{36!/(2!34!)}}} = 630. 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