SOLUTION: How many different committees of 5 people can be formed from a pool of 8 people?

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Question 169454: How many different committees of 5 people can be formed from a pool of 8 people?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's 8*7*6*5*4, = 6720 possibilities.
But since the order in which they're chosen doesn't matter, you have to divide by 5*4*3*2*1, which is 120. See that? It doesn't matter is person A is chosen 1st, 2nd or 5th. In math terms, that is "without order."
The result is 6720/120 = 560.
There are 560 possibilities.