Questions on Word Problems: Linear Equations And Systems Word Problems answered by real tutors!

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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?: 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?
Answer by stanbon(18994) 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.
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?: 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?
Answer by vleith(1172) 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!/(10-2)! = 10!/8! = 10*9 = 90
See this video for more info http://collabvsl.wetpaint.com/page/Basic+Probability