List of possible Matchups of NFL teams

Question

Please list all possible matchups of all 32 NFL teams. The list of teams is below. I know there should be 31 x 31 total possibilities, but that inclues repetition such as Patriots vs Bills and Bills Vs Patriots. What code should i use to get a list of every possibile combination without repetition? Thank you

Arizona Cardinals

Atlanta Falcons

Baltimore Ravens

Buffalo Bills

Carolina Panthers

Chicago Bears

Cincinnati Bengals

Cleveland Browns

Dallas Cowboys

Denver Broncos

Detroit Lions

Green Bay Packers

Houston Texans

Indianapolis Colts

Jacksonville Jaguars

Kansas City Chiefs

Las Vegas Raiders

Los Angeles Chargers

Los Angeles Rams

Miami Dolphins

Minnesota Vikings

New England Patriots

New Orleans Saints

New York Giants

New York Jets

Philadelphia Eagles

Pittsburgh Steelers

San Francisco 49ers

Seattle Seahawks

Tampa Bay Buccaneers

Tennessee Titans

Washington Football Team

Answer 1

It's actually 31+30+29+28+...+3+2+1

= 31*32/6 <-- sum of the 1st N integers

= 496

starting with the New England Patriots, they have 31 possible opponents;

then, moving onto the New York Jets, they have 30 possible opponents;

then with respect to the Buffalo Bills, they have 29 possible opponents;

finally, the Miami dolphins will have 28 possible opponents;

<done with AFC East>

For the AFC North, the Pittsburgh Steelers will have 27 opponents, the

Baltimore Ravens shall have 26, the Cleveland Brown 25, and the Cincinnati Bengals 24;

continuing with this line of reasoning and logic there are

31+30+29+28+....+3+2+1 =

31*32/2 <--- formula for the sum of the 1st N integers

31*16 =

(30+1)*16 =

480 + 16 =

496

In the RESOURCES section,

I have uploaded the code for you as well as the output file which lists

all 496 possible match-ups

Code is written in Java:

First, put the team names in an array like this:

String nflTeams[] = {"New England Patriots",

"Buffalo Bills",

"Miami Dolphins",

"New York Jets",

"Pittsburgh Steelers",

...

"San Fransisco 49ers",

" Arizona Cardinals",

"Los Angeles Rams",

"Seattle Seahawks"};

the pseudo-code for the main for loop is:

for (int iLoop=0; iLoop<32; iLoop++)

{

for (int jLoop=1; jLoop<32; jLoop++)

{

outbuff = nflTeams[iLoop] + " vs " +nflTeams[jLoop] + "\n";

write to file (outbuff);

}

}

The output file does contain 496 lines...

It is in the RESOURCES section whose description is this link.

enjoy