SOLUTION: Eight winners for a door prize will be selected at random, without replacement, from a list containing 10 men and 10 women. 1. How many different sets of eight winners can be sele

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Question 294304: Eight winners for a door prize will be selected at random, without replacement, from a list containing 10 men and 10 women.
1. How many different sets of eight winners can be selected for the door prize?
2. How many different sets of eight winners consisting of 4 men and 4 women can be selected for door prizes?
3. How many different sets of eight winners consisting of more women than men can be selected for door prizes?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Eight winners for a door prize will be selected at random, without replacement, from a list containing 10 men and 10 women.
1. How many different sets of eight winners can be selected for the door prize?
Ans: 20C8
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2. How many different sets of eight winners consisting of 4 men and 4 women can be selected for door prizes?
Ans: 10C4*10C4
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3. How many different sets of eight winners consisting of more women than men can be selected for door prizes?
10C5*10C3 + 10C6*10C2 + 10C7*10C1 + 10C8*10C0
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Cheers,
Stan H.
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