There are 9 team participating in Indian Premier League, every team will play two matches with every other team. Top 4 teams will be qualified for playoffs.

**How many minimum wins required for a team to ensure a place in playoffs?**

**Case 1:** Lets say if Team A and B and C wins 14 matches each(they will loose 1 game each from other two teams), then team D can win only 16 – 3*2 = 10 matches.

**Case 2:** Lets take a case where Top 4 team wins 13 games each

Team A: wins 13 matches, looses 3 games from B,C and D

Team B: wins 13 matches, looses 3 games from A,C and D

Team C: wins 13 matches, looses 3 games from A,B and D

Team D wins 13 matches, looses 3 games from A, B and C

Now Team E, can only win maximum of 8 matches as it A,B,C and D will win all matches played by E.

**Case 3:** Lets say top 5 teams wins 12 matches each

Team A: wins 12 matches, looses 3 games from B, C, D and E

Team B: wins 12 matches, looses 3 games from A, C, D and E

Team C: wins 12 matches, looses 3 games from A, B, D and E

Team D wins 12 matches, looses 3 games from A, B , C and E

Team E wins 12 matches, looses 4 games from A, B, C and D

In this case, team E though wins 12 matches but still don’t qualify for playoffs(assuming lowest run rate).

Thus from case 2 we can say that a team has to win at least 13 matches to ensure a place in playoffs.