Unformatted text preview: n couples to a party. She wants to ask a (possibly empty) subset of the 2 n guests to give a speech, but she does not want to ask both members of any couple to give speeches. In how many ways can she do this? Answers to the following questions will help me with the direction of the course, in addition to satisfying my curiosity. 8 Please describe your history with mathematics. Possible angles include: What classes have you enjoyed the most? What problems have interested you? How did you end up studying mathematics? 9 What are your future plans for mathematics? What are you studying here?...
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 Fall '10
 Vetter
 Set Theory, Natural number

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