Question

A salesperson at a car dealership is showing cars to a prospective buyer. There are 9 models in the dealership. The customer wants to test-drive only 3 of them a. In how many ways could the 3 models be chosen if the order of test-driving is 217 considered? In how many ways could the 3 models be chosen if the order of test-driving is not important? Suppose 6 of the models are new and the other 3 models are used. If the 3 cars to test-drive are randomly chosen, what is the probability that all 3 are new? Is the answer to part (c) different depending on whether or not the order is considered? b. c. d.

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TOPIC: Use of combinatorics and the Classical definition of probability.

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