Finite Math

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A small seminar class consists of Anne, Bill, Cathy, Dan, Ellen, and Frank. The teacher has been told that 2 of them are from Indiana, 3 of them are from Michigan, and the other 1 is from Ohio. But the teacher does not know who is from which state. So the teacher decides to call on them one after another in alphabetical order and record which state each one is from until the teacher has found two (2) students from Indiana or has found a student from Michigan and a student from Ohio. How many overall outcomes are possible?

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