SOLUTION: 30 members in the club, with 18 men and 12 women. What is the smallest committee size that guarantees having at least three female members?

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Question 798226: 30 members in the club, with 18 men and 12 women. What is the smallest committee size that guarantees having at least three female members?
Found 2 solutions by tommyt3rd, thepelster:
Answer by tommyt3rd(5050) About Me  (Show Source):
Answer by thepelster(3) About Me  (Show Source):
You can put this solution on YOUR website!
if you mean the committee having the same ratio as the one with 30 people you have to say, but im nice so ill answer assuming thats what you meant.
12 divided by 4 = 3 so thats a 4:1 ratio
18 divided by 4 = 4.5... sooo thats 9.5 people (thats the smallest)
or ten people for the closest whole number answer
looks like you gotta chop somebody in half (bummer)
hope this helps
P