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Question: assignment due 2 counting techniques due problem 21 a mathematics...

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Assignment Due 2: Counting Techniques Due PROBLEM 2.1 A mathematics professor wishes to schedule an appointment with each of her 8 teaching assistants, four men and four women, to discuss her calculus course. Suppose that all possible orderings of appointments are equally likely to be selected. How many possible orderings of appointments are there if each person is identified by their name? What is the probability that the ordering alternates between male name and female name (it can start either with male or female as long as it alternates)? What is the probability, after seeing 6 students, the professor will have seen all the female TAs? HINT: the 7th and 8th appointments must be male names. a. b. c.
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