Question

You have 10 people playing a 5 person game. Therefore with each round there are two games in which all 10 play. Everyone needs to play each other an equal number of times. How many rounds does this take? And what is the schedule of who plays who in each of those rounds?

Answer 1

$$C _ {1 0} ^ {5} = \frac {1 0 !}{5 ! 5 !} = 2 5 2$$

Answer: rounds take 252.