Question

Schedule the Mixed-Doubles Matches A mixed doubles tennis tournament
went on for three days with four couples
as players.


Each competing pair had a man and
a woman. A person played with, as well as
against another person only once.

Only two matches were played in a day,
one on each court.


How can you schedule these matches
on the two courts on three successive
days?

Answer 1

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.

Answer 2

Step-by-step explanation:

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.