Team Formation

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sandipgumtya: Master | Next Rank: 500 Posts; Posts: 126; Joined: Sat Jun 07, 2014 5:26 am; Thanked: 3 times

by sandipgumtya » Mon Sep 14, 2015 10:31 am

There are 8 employees in a particular unit of a firm,of which 3 are females.A team of 5 is to be formed from these 8 members.There should be at least two females in the team.C and D are brothers and according to company policy,relatives can't be part of the same team.F is G's brother.A hates H and is a male.In how many ways can the team be formed?
A-6
B-8
C-10
D-12
E-None
Pl help me with this.

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Source: Beat The GMAT — Problem Solving | Mon Sep 14, 2015 10:31 am

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by [email protected] » Mon Sep 14, 2015 4:26 pm

Hi sandipgumtya,

What is the source of this question (and is it from a GMAT book or a general math book?)? I ask because this question is not written in proper GMAT style and includes some vague information ("F is G's brother" - does that mean that G is a male or a female?; "A hates H and is a male" - so is H a male or a female?").

There are plenty of sources for legitimate GMAT practice material, so I suggest that you spend your time working with those materials.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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sandipgumtya: Master | Next Rank: 500 Posts; Posts: 126; Joined: Sat Jun 07, 2014 5:26 am; Thanked: 3 times

by sandipgumtya » Tue Sep 15, 2015 10:05 am

hi rich,
ya this is a math book qus.i stumbled over this and couldn't solve.can u plz explain the underlying concept here?thanks

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GMAT/MBA Expert

[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members; Location: Palo Alto, CA; Thanked: 2867 times; GMAT Score:800

by [email protected] » Tue Sep 15, 2015 3:18 pm

Hi Sandip,

This questions 'feels' more like an LSAT Logic Games questions than a GMAT question; regardless, you won't see anything this complexly-worded (or vaguely worded) on the Official GMAT.

If the details were a bit clearer (and since the answers choices are relatively small), I would 'map out' all of the options. For example, if we call the females X, Y and Z, since we know that AT LEAST 2 females much be on each team of 5 people, each team is going to be based on one of the following:

XY _ _ _
XZ _ _ _
YZ _ _ _
XYZ _ _

From here, I'd use the various rules regarding the males to map out each 'sub'-option.

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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