I was hoping for a little help on finding a solution to this problem. Actually, I'm not as worried about the solution as much as how to arrive at the solution. I tried asking the math department at my school but no one was willing or able to help out so I figured I would try here. Thanks in advance. Any info on how to solve it would be helpful. Here is the problem...

I need to pick one team from each of the following groups. I cannot pick more than 5 AFC teams. I cannot pick more than 5 NFC teams. How many combinations of teams can I pick from?

Group 1

NFC-Atlanta Falcons

NFC-New Orleans Saints

AFC-New England Patriots

NFC-Green Bay Packers

Group 2

NFC-Dallas Cowboys

NFC-Arizona Cardinals

AFC-Oakland Raiders

AFC-Indianapolis Colts

Group 3

AFC-San Diego Chargers

AFC-Pittsburgh Steelers

AFC-Buffalo Bills

NFC-Washington Redskins

Group 4

AFC-Kansas City Chiefs

AFC-Tennessee Titans

NFC-Carolina Panthers

NFC-Philadelphia Eagles

Group 5

AFC-Miami Dolphins

NFC-Seattle Seahawks

NFC-Tampa Bay Buccaneers

NFC-Detroit Lions

Group 6

AFC-Baltimore Ravens

AFC-Denver Broncos

NFC-Minnesota Vikings

AFC-Cincinnati Bengals

Group 7

AFC-Jacksonville Jaguars

NFC-New York Giants

NFC-San Francisco 49ers

AFC-Houston Texans

Group 8

NFC-Chicago Bears

AFC-New York Jets

AFC-Cleveland Browns

NFC-Los Angeles Rams

Thanks again for any help anyone can offer. Again, I'm not as worried about the actual answer as I am how to find it. I'd like to be able to do the calculation on my own if the groups were shuffled.