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You are selecting an advisory board of four people to oversee Hennepin County s management of services to support people experiencing homelessness You have interviewed each candidate and based on this have ranked them based on whom you would most like to see on the board However in addition to your feelings about individual candidates would like to ensure that the board has at least two women on it and at least one person with lived experience meaning that they have been homeless themselves at some point in their life You may assume that among your applicant pool there are at least two women and at least one person with lived experience so that your goal is achievable You are considering the following method of selecting candidates 1 Select the highest ranked woman with lived experience if one exists 2 a If you selected a candidate in step 1 select the highest ranked woman remaining 2 b If you did not select a candidate in step 1 select the highest ranked person with lived experience AND the two highest ranked women 3 Select the highest ranking remaining applicants until you have a total of four committee members Is this choice function guaranteed to be substitutable no matter who applies and how you rank them Explain your answer using examples if needed Your explanation should demonstrate a clear understanding of the meaning of substitutability in this context

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