Random Fixture Generation

Hello. I want to create a Sports simulator, in this case a football simulator. I have a PremierLeague list of 6 teams , which each team being an instance of a custom class, Team At start I add the 6 teams to the list :

  PremierLeague.Add(new Team { TeamName = "Liverpool", Attack = 90, Midfield = 85, Defence = 89, Points = 8, GamesPlayed = 0, GoalDifference = 0 });
         PremierLeague.Add(new Team { TeamName = "Manchester Utd", Attack = 81, Midfield = 80, Defence = 74, Points = 7, GamesPlayed = 0, GoalDifference = 0 });
         PremierLeague.Add(new Team { TeamName = "Tottenham", Attack = 85, Midfield = 80, Defence = 80, Points = 10, GamesPlayed = 0, GoalDifference = 0 });
         PremierLeague.Add(new Team { TeamName = "Leicester City", Attack = 81, Midfield = 78, Defence = 76, Points = 2, GamesPlayed = 0, GoalDifference = 1 });
         PremierLeague.Add(new Team { TeamName = "West Ham", Attack = 76, Midfield = 74, Defence = 72, Points = 2, GamesPlayed = 0, GoalDifference = 2 });
         PremierLeague.Add(new Team { TeamName = "Aston Villa", Attack = 70, Midfield = 71, Defence = 70, Points = 2, GamesPlayed = 0, GoalDifference = -1 });

I have already created a function to sort them by points.

After that, I created a new class, Match that has 4 parameters: 1 home Team 1 away team and their respective int scores:

 public class Match
 {
     public Team HomeTeam;
     public Team AwayTeam;
     public int HomeGoals;
     public int AwayGoals;
 
 }

I have created a function that assigns scores result based on the team stats.

This all works as expected, but what I need is for the game to generate Matchups between all teams in the league. I thought I should create another Matchweek class:

 public class Matchweek //length = n. of teams / 2
 {
     public Match Match1;
     public Match Match2;
     public Match Match3;
 
 }

that would consist of 3 (6/2) matches. What I can't figure out how to do is how to assign 3 matches to 10 (2*(6-1)) Matchweeks so that a new list of Matchweeks would feature 10 matchweeks containing all possible matchups between the teams in the league and a reverse fixture (inverting who is away and who is playing at home)

I've thought about this quite a bit and can't think of a solution but maybe my programming skills are too limited to achieve this as of yet so I wanted to know if anybody has some suggestions to achieve this? Thanks in advance