A small manufacturing company will start operating a nightshift. There are 20 machinists

Chapter 2, Problem 90

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A small manufacturing company will start operating a nightshift. There are 20 machinists employed by the company.a. If a night crew consists of 3 machinists, how many differentcrews are possible?b. If the machinists are ranked 1, 2, . . . , 20 in order of competence,how many of these crews would not have thebest machinist?c. How many of the crews would have at least 1 of the 10best machinists?d. If one of these crews is selected at random to work on aparticular night, what is the probability that the bestmachinist will not work that night?

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