SOLUTION: I'm having trouble with the question: "You must divide 10 students into 2 teams. How many ways cam they form the team?" I've tried using: 10C2

Algebra ->  Permutations -> SOLUTION: I'm having trouble with the question: "You must divide 10 students into 2 teams. How many ways cam they form the team?" I've tried using: 10C2       Log On


   



Question 754819: I'm having trouble with the question:
"You must divide 10 students into 2 teams. How many ways cam they form the team?"
I've tried using: 10C2

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
"You must divide 10 students into 2 teams. How many ways cam they form the team?"
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Assuming there are 5 on each team:
Pick a team of 5, and whoever's left is the other team.
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--> 10*9*8*7*6 = 30240
If the team members are interchangeable, then divide by 5!
30240/120 = 252
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Then, each team could be the 5 chosen or the 5 not chosen, so divide by 2
--> 126 ways.