SOLUTION: A school sent 5 students to a Spelling Bee. The team was made up of 4 people. How many combinations of 4 students could make up team?

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Question 84169: A school sent 5 students to a Spelling Bee. The team was made up of 4 people. How many combinations of 4 students could make up team?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Since there are 5 students to choose from, and a "team" consists of 4 players, you are taking a combination of "5 students taken 4 at at time". One way to write this is C(5,4). To find the value of this:
%285%2A4%2A3%2A2%29%2F%284%2A3%2A2%2A1%29+
=5.

An easier way to do this is to realize that CHOOSING 4 out of 5 to be on the team is EXACTLY the same as choosing 1 out of 5 to NOT be on the team. There are obviously 5 ways to choose 1 person NOT to be on the team, so the answer is 5.

R^2 at SCC