Answer Happy

(2 points) A search committee is formed to find a new software engineer. There are 97 applicants who applied for the position. 1) how many ways are there to select a subset of 13 for a short list? 2) If 6 of the 13 on the short list are selected for an interview, how many ways are there to pick the set of people who are interviewed? (You can assume that the short list is already decided). 3) Based on the interview, the committee will rank the top 2 candidates and submit the list to their boss who will make the final decision. (You can assume that the interviewees are already decided.) How many ways are there to select the list from the 6 interviewees?