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Re: In how many ways can a committee of 5 members be formed from
[#permalink]
27 Aug 2019, 13:23
4
Carcass wrote:
In how many ways can a committee of 5 members be formed from 4 women and 6 men such that at least 1 woman is a member of the committee?
(A) 112
(B) 156
(C) 208
(D) 246
(E) 252
There are 10C5 = 252 ways to pick a 5 member committee out of 10 people (this includes committees with at least one woman and committees with no women at all). To get the number of committees with at least one woman, we should subtract the number of committees with no women from the total number of possible committees. There are 6C5 = 6 ways to pick the 5 member committee from men only. Thus, the number of committees where at least 1 woman is a member = 252 - 6 = 246. Answer D.
Re: In how many ways can a committee of 5 members be formed from
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19 Jun 2024, 04:54
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Re: In how many ways can a committee of 5 members be formed from [#permalink]