A dating service has as clients six recently divorced 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. a) Is it possible to do this? b) If so, what is the fewest number of parties that can be held? c) Extra Credit: What are all the possible combinations that have the fewest number of parties?
A dating service has as clients six recently divorced 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. a) Is it possible to do this? b) If so, what is the fewest number of parties that can be held? c) Extra Credit: What are all the possible combinations that have the fewest number of parties?
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 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. a) Is it possible to do this? b) If so, what is the fewest number of parties that can be held? c) Extra Credit: What are all the possible combinations that have the fewest number of parties?
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