What is the expected number of groups

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At the beginning of the semester, there were 3n people in a classroom. These people were then randomly grouped into n groups of three people each do a semester long group project, with every possible grouping equally likely. After the first exam, m people withdraw from the class. Suppose that the groups are not reassigned (even after the m people have withdrawn), what is the expected number of groups with 3 people left?

Reference no: EM132464103

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