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Determine the number of different choices

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(a) Make a tree diagram to show all the possible sequences of answers for three multiple choice questions, each with three possible responses. Assuming that you are guessing the answers so that all outcomes listed in the tree are equally likely, what is the probability that you will guess the one sequence that contains all three correct answers? (Round your answer to five decimal places. )

(b) A sales representative must visit eight cities. There are direct air connections between each of the cities. Use the multiplication rule of counting to determine the number of different choices the sales representative has for the order in which to visit the cities.

Reference no: EM132844475

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