Question 1027165

In A Premier League there are 20 soccer teams.
(a)In One Round How Many Games Are There?
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20 choose 2 = 20C2 = 190
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(b) If five of the teams represent one company, find the 
number of ways pairs of teams representing different companies 
can play the game.       
<pre>
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</pre>