Problem 52: Iceland's World Cup Adventure

http://www.goal.com/en-gb/news/russia-2018-iceland-becomes-smallest-nation-to-qualify-for-world-/1gwdmlxhdwsui1hzp4o0nu6rgz

Iceland participates to the Soccer World Cup for the first time in history. The people of this small island nation so excited.

They are going to play with Costa Rica, Argentina and Nigeria in the group stage.

Can you determine in how many different ways can they qualify to the second stage? This includes being in the top two positions. Points may vary for qualifying to the upper level. For example, consider all the games are draw. Then all teams will have 3 points each. Some other rules will be used to determine the teams which qualify.

Here are some other examples:

1. Argentina 9 points

2. Iceland 6 points

3. Nigeria 3 points

4. Costa Rica 0 points

1. Iceland 9 points

2. Costa Rica 7 points

3. Argentina 4 points

4. Nigeria 0 points