Question 1

Q3. A project manager must select four analysts from her group to write four different software functions. There are 9 junior and 7 senior analysts in her group. The first and fourth functions can be written by any of the analysts. The second function must be written by a senior person and the third function must be written by a junior person. How many ways are there for her to assign the analysts to the functions if no person can be assigned to more than one function?

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Question 2

Q6. Suppose a network has 39 servers of which 8 fail. How many possibilities are there for the 8 that fail?

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Question 3

Q7. 20 people have volunteered for a 5-person neighborhood advocacy committee. 15 of them are homeowners and the rest are local business owners. How many ways are there to select the 5-person committee such that exactly 2 local business owners are represented?

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Question 4

Q8. A search committee was formed to find a new software engineer from a set of 50 applicants. The total set of applicants was then reduced to 9 candidates to consider for interviews. If 5 of the 9 are selected for an interview, how many ways are there to pick the set of people who are interviewed?

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Question 5

Q9. A search committee was formed to find a new software engineer from a set of 50 applicants. The total set of applicants was then reduced to 12 candidates to consider for interviews, and 4 of them were selected for an interview. Among those who are interviewed, the committee will rank the top three candidates and submit the list to their boss who will make the final decision. How many ways are there to create the ranked list from the 4 interviewees?

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