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# How many ways can a committe of three be made from a pool of

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Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
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Kudos [?]: 9 [0], given: 0

How many ways can a committe of three be made from a pool of [#permalink]  30 Dec 2004, 00:11
How many ways can a committe of three be made from a pool of 5 male candidates and 3 female candidates if there is to be at least 1 male?

Director
Joined: 27 Dec 2004
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Kudos [?]: 19 [0], given: 0

MMMMM
FFF

with each committe having at least 1 male

MMM
MFM
MFF

I will say 3. This sound too simple to be true. I bet there is a trick behind this. Anticipates OA
Intern
Joined: 07 Aug 2003
Posts: 3
Location: Argentina
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Kudos [?]: 1 [0], given: 0

I would say 55

Total possible committees: 8*7*6/(2*3)=56
Number of committees with no males: 1
Total committees= 56-1=55
Intern
Joined: 30 Dec 2004
Posts: 1
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Kudos [?]: 0 [0], given: 0

I'd say 15.. what is the answer?
Director
Joined: 03 Nov 2004
Posts: 868
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Kudos [?]: 19 [0], given: 0

55.
8C3 - 3C3 => (8 * 7) - 1 = 56 -1 = 55
GMAT Club Legend
Joined: 15 Dec 2003
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Just to say that in my actual GMAT exam, I got a similar "committee" question. If you reach the high 40s, you better know your probability/combination concepts well.
_________________

Best Regards,

Paul

Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
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Kudos [?]: 9 [0], given: 0

OA is 55

good work!
Director
Joined: 14 Oct 2003
Posts: 588
Location: On Vacation at My Crawford, Texas Ranch
Followers: 1

Kudos [?]: 9 [0], given: 0

Paul wrote:
Just to say that in my actual GMAT exam, I got a similar "committee" question. If you reach the high 40s, you better know your probability/combination concepts well.

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