SOLUTION: Seven people are preparing to play basketball using a three member team. How many different three person teams can be put together. Hint: Combination of 7 taking 3 at a time.

Algebra ->  Permutations -> SOLUTION: Seven people are preparing to play basketball using a three member team. How many different three person teams can be put together. Hint: Combination of 7 taking 3 at a time.      Log On


   

Question 811076: Seven people are preparing to play basketball using a three member team. How many different three person teams can be put together. Hint: Combination of 7 taking 3 at a time.
Answer by natenator(1) About Me  (Show Source):
You can put this solution on YOUR website!
Since it's asking to choose 3 people from 7 and there are no rules about whether order matters we can assume that this is a combination question. Therefore we use a formula of 7C3 (7 choose 3)

=7%21%2F%287-3%29%21+3%21


=7%2A6%2A5%2A4%2A3%2A2%2A1%2F%284%2A3%2A2%2A1%29%283%2A2%2A1%29


=%287%2A6%2A5%29%2F%283%2A2%2A1%29


=35



Hopefully that helps. I am new here and have ZERO clue how to use this formula system. Took me well over 30 mins to post something that simple lol