Question 1 (3 points) Q3. A project manager must select four analysts from her group to write four different software functions. There are 8 junior and 6 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? Your Answer: Answer Question 2 (3 points) Q6. Suppose a network has 36 servers of which 4 fail. How many possibilities are there for the 4 that fail? Your Answer: Answer Question 3 (3 points) Q7. 20 people have volunteered for a 5person 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 3 local business owners are represented? Your Answer: Answer Question 4 (3 points) 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 6 of the 9 are selected for an interview, how many ways are there to pick the set of people who are interviewed? Your Answer: Answer Question 5 (3 points) 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 10 candidates to consider for interviews, and 6 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 6 interviewees? Your