Saturday, 6 December 2014

The ‘Mixed Double’



            Four married couples played a tennis tournament of ‘mixed doubles’. A man and a woman always played against a man and a woman. However, no person ever played with or against any other person more than once. They all played together n two courts on three successive days. 

          Can you show how they could have done it?

Answer:     Let’s call the men A B C D and their wives E F G H. They must play in such a way that no person ever plays twice with or against another person.

                                                 First Court                            second Court
1st day                                   AD against BF                    CE against DF
2nd day                                 AH against CF                      DE against BH
3rd day                                  AF against DG                      BE against CH

In this way no man ever plays with or against his own/ wife.

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