Combinations
Home Learn Quiz

 

 

 

 

Example 1:

 

 

In a conference of 9 schools, how many intraconference football games
are played during the season if the teams all play each other exactly
once?

 

 

Solution:

 

If n is the number of teams we have to choose from,  then n = 9
because there are 9 teams in the conference.

 

 

 

 

 

 

 

 

 

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If r is the number of teams we are using at a time, then r = 2 because
2 teams play per game.

                                                   
                                                                    n = 9, r = 2

 

 

evaluate inside ( )

                           

expand 9! until it gets to 7!

                          

cancel out the 7!'s

 

 

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