SOLUTION: Allyson plays for the cook county regoinal football league whuch has ten teams. DURING A SEASON, EACH TEAM PLAYS THE OTHER TEAM TWICE, ONCE AT HOME AND ONE AWAY.HOW MANY TOTAL GAME

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Allyson plays for the cook county regoinal football league whuch has ten teams. DURING A SEASON, EACH TEAM PLAYS THE OTHER TEAM TWICE, ONCE AT HOME AND ONE AWAY.HOW MANY TOTAL GAME      Log On


   

Question 155027: Allyson plays for the cook county regoinal football league whuch has ten teams. DURING A SEASON, EACH TEAM PLAYS THE OTHER TEAM TWICE, ONCE AT HOME AND ONE AWAY.HOW MANY TOTAL GAMES ARE PLAYED IN ONE SEASON?
Found 2 solutions by stanbon, vleith:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
It takes two teams to play a game.
Number of pairs of ten is 10C2 = 10*9/1/2 = 45 games
They do that twice, so 90 games would be required for
each team to play the other teams twice..
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Cheers,
Stan H.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Since there are 10 teams, each week there will be 5 games.
It will take 9 weeks to play every other team once. So it takes 18 weeks to play every team twice (once home and once away).
5*9*2 = 90 games
Using mathematics for permutations is 10%21%2F%2810-2%29%21 = 10%21%2F8%21 = 10%2A9 = 90
See this video for more info http://collabvsl.wetpaint.com/page/Basic+Probability