SOLUTION: There are 8 people hosting a party. Three people are needed to stay and clean up after the party is over. How many ways can the clean-up crew be chosen? (Hint: 8C3)

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Question 1015575: There are 8 people hosting a party. Three people are needed to stay and clean up after the party is over. How many ways can the clean-up crew be chosen?
(Hint: 8C3)

Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52925) About Me  (Show Source):
You can put this solution on YOUR website!
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There are 8 people hosting a party. Three people are needed to stay and clean up after the party is over. How many ways can the clean-up crew be chosen?
(Hint: 8C3)
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You just have the answer: 8C3.

Do you know what is it?

It is the number of combinations 8 objects taken 3 at a time:

8C3 = %288%2A7%2A6%29%2F%281%2A2%2A3%29 = 8*7 = 56.

Regarding the combinations, read the lesson Introduction to Combinations in this site.


Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

There are 8 people hosting a party. Three people are needed to stay and clean up after the party is over. How many ways can the clean-up crew be chosen?
(Hint: 8C3)
%22%22%5B8%5DC%5B3%5D =  =   =  = %28matrix%281%2C1%2C8+%2A+7+%2A+6%29%29%2F%28matrix%281%2C1%2C3+%2A+2%29%29 =  = highlight%28highlight_green%28highlight%2856%29%29%29