SOLUTION: 3 names will be picked from a jar to be on a team. There are a total of 9 names in the jar. How many different combinations of names can be pick?

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Question 970012: 3 names will be picked from a jar to be on a team. There are a total of 9 names in the jar. How many different combinations of names can be pick?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Picking them one by one,
you would have 9 choices for the first pick,
which in each case would leave 8 choices for the second pick,
which in each case would leave 7 choices for the third pick.
All in all, there would be 9%2A8%2A7 permutations of names picked in sequence.
However, each 3-name combination can be picked in 3%2A2 different orders
(3 possibilities for first pick, and 2 for the second pick).
Since it does not seem that you care about picking order,
and those 9%2A8%2A7 permutations include
3%2A2 different picking orders of the each 3-names combinations,
the number of possible combinations is
9%2A8%2A7%2F%283%2A2%29=%289%2F3%29%2A%288%2F2%29%2A7=3%2A4%2A7=84 .