SOLUTION: There are 9 players on a volleyball team. Only 6 players can play at one time. The players are going to pick the team randomly. How many combinations of 6 player teams can be chose

Algebra ->  Permutations -> SOLUTION: There are 9 players on a volleyball team. Only 6 players can play at one time. The players are going to pick the team randomly. How many combinations of 6 player teams can be chose      Log On


   

Question 717822: There are 9 players on a volleyball team. Only 6 players can play at one time. The players are going to pick the team randomly. How many combinations of 6 player teams can be chosen?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
This problem, in mathematical terms, is: How many combinations are possible when selecting 6 out of 9. The formula for this is:
9%21%2F%286%21%2A3%21%29
where n! is read "n factorial" and means 1 * 2 * 3 * ... * n

Now we simplify:


%287%2A8%2A9%29%2F%281%2A2%2A3%29
%287%2A4%2A2%2A3%2A3%29%2F%281%2A2%2A3%29
%287%2A4%2Across%282%29%2Across%283%29%2A3%29%2F%281%2Across%282%29%2Across%283%29%29
7%2A4%2A3%29%2F1
84

So there are 84 different groups of 6 which can be chosen from a group of 9 players.