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Problem 4 (Tennis Anyone ?)

Anne, Brent, Cindy, and Dylan are playing tennis doubles (two versus two). First, Anne and Brent play against Cindy and Dylan; next Anne and Cindy play against Brent and Dylan; finally Anne and Dylan play against Brent and Cindy. Show that for every possible outcome of the three games, there is one player that is either on the winning side in each of the three games, or on the losing side on each of the three games.
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Last modified on Tuesday, January 12, 1999