Question 1027165: In A Permier League there are 20 soccer teams.
(a)In One Round How Many Games Are There?
(b) If five of the teams represnt one company,find the number of ways pairs of teams reprsenting differnt companies can play the game.
Answer by Edwin McCravy(20064)   (Show Source):
You can put this solution on YOUR website!
In A Premier League there are 20 soccer teams.
(a)In One Round How Many Games Are There?
20 choose 2 = 20C2 = 190
(b) If five of the teams represent one company, find the
number of ways pairs of teams representing different companies
can play the game.
So there are 4 companies, each having 5 teams.
4 companies choose 2 = 4C2 = 6 ways
Choose a team of the company that's, say, been in business the
longest.
5 teams choose 1 = 5C1 = 5 ways
Choose a team of the other company,
5 teams choose 1 = 5C1 = 5 ways
Answer 6*5*5 = 150 ways.
Edwin
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