A dating service has as clients six recently divorced opposite-sex couples. Each client wants the opportunity to socialize with the other clients of the opposite sex, but refuses to be in the same room as his or her ex-spouse. The service wants to throw a sequence of parties to bring people together. They want each male and female pair to attend some party (not necessarily as a couple), but of course no formerly married couple should attend the same party.   Is it possible to do this?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CT: Chapter Test
Problem 3CT: An Internet service provider requires its customer to select a password consisting of four letters...
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A dating service has as clients six recently divorced opposite-sex couples. Each client wants the opportunity to socialize with the other clients of the opposite sex, but refuses to be in the same room as his or her ex-spouse. The service wants to throw a sequence of parties to bring people together. They want each male and female pair to attend some party (not necessarily as a couple), but of course no formerly married couple should attend the same party.

 

  1. Is it possible to do this?
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