Problem H-5

Due is DSC 203 by 12 Noon, Friday February 15, 2002

Proposed by Dora Matache

A football team consists of $20$ offensive and $20$ defensive players. The players are paired in groups of $2$ for the purpose of determining roommates. If the pairing is done at random, what is the probability that there are no offensive-defensive roommate pairs? What is the probability that there are $2i$ offensive-defensive roommate pairs, $i=1,2,\ldots,10$?

Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder

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Last modified:   Sat Jan 26 12:31:59 CST 2002