I'm running a volleyball club at school and we currently have 5 active members. Is there a way of having everybody play in a duo with everybody else and have one person sit out each game practising? I posted this here because this is more a maths problem than a volleyball one.
The answer is:
Sure, of course.
Have a look at the following diagram:
Let each dot be a player. Then rotate that diagram 5 times: the lone circled person will be each person exactly once, each pair of adjacent people will be the green (upper) pair exactly once, and each pair of non-adjacent people will be the red (lower) pair exactly once.
Here is one possible roster:
2-5 vs 3-4 (1 alone) 3-1 vs 4-5 (2 alone) 4-2 vs 5-1 (3 alone) 5-3 vs 1-2 (4 alone) 1-4 vs 2-3 (5 alone)