Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 19 Dec 2013, 21:50

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# An engagement team consists of a project manager, team

Author Message
TAGS:
VP
Joined: 22 Nov 2007
Posts: 1106
Followers: 6

Kudos [?]: 87 [0], given: 0

An engagement team consists of a project manager, team [#permalink]  31 Jan 2008, 21:09
An engagement team consists of a project manager, team leader and four consultants. There are 2 candidates for the position of proj.manager, 3 for the position of team leader and 7 for 4 consultants slots. If 2 of the 7 consultants refuse to be on the same team, how many different team are possible?

25
35
150
210
300
Manager
Joined: 02 Jan 2008
Posts: 160
Followers: 2

Kudos [?]: 45 [2] , given: 0

Re: combo with constraints [#permalink]  02 Feb 2008, 05:20
2
KUDOS
To get the number of ways you can select 4 consultants, you can do this:

A. Total number of ways 4 can be selected out of 7 = 7C4 = 35
B. Total number of ways in which these two snobbish consultants are together (two are already there, so you just need to select rest two out of 5) = 5C2 = 10

A (minus) B results in 25 which can then be multiplied with (2C1*3C1) to result in 150
Director
Joined: 01 Jan 2008
Posts: 630
Followers: 3

Kudos [?]: 121 [1] , given: 1

Re: combo with constraints [#permalink]  01 Feb 2008, 09:42
1
KUDOS
jimmyjamesdonkey wrote:
Can you explain this part is words:

(5C4+5C3*2C1)

We can either choose 4 consultants from a group of 5 (5C4) who are willing to work with everyone or choose 3 from that group (5C3) and one person from the other group of 2 consultants (2C1) who don't want to work with each other.
Senior Manager
Joined: 20 Dec 2004
Posts: 260
Followers: 6

Kudos [?]: 51 [1] , given: 0

Re: combo with constraints [#permalink]  02 Feb 2008, 11:20
1
KUDOS
2C1*3C1*7C4 - 2C1*3C1*5C2 = 6[35-10] = 150.
_________________

Stay Hungry, Stay Foolish

CEO
Joined: 29 Mar 2007
Posts: 2604
Followers: 16

Kudos [?]: 160 [0], given: 0

Re: combo with constraints [#permalink]  31 Jan 2008, 21:47
marcodonzelli wrote:
An engagement team consists of a project manager, team leader and four consultants. There are 2 candidates for the position of proj.manager, 3 for the position of team leader and 7 for 4 consultants slots. If 2 of the 7 consultants refuse to be on the same team, how many different team are possible?

25
35
150
210
300

I get C. If I see this on the test, id prolly get to 210 and then guess A B or C.

OK so for the first position we have only 2 possiblities ( proj manager) 3 for the team leader so and 7!/3!4! for the consultants

2*3*35 --> 210

Now I dunno how to figure out the constraints quickly but I eventually figured it out. Obvs. we want to figure out the total ways in which the two ARE on the same team.

I did it by AB are the two and XYZFN are the rest

ABXO (O stands for the other 4) So the first is ABXY, Z,F,N 4 possible choices

The next is

ABYO (but notice we already had YX so there are only 3 possible choices)
ABZO
ABFO
ABNO No possible here we used them all up

So 4+3+2+1 = 10

SO now its 2*3*10 =60

So 210-60 = 150
Director
Joined: 01 May 2007
Posts: 804
Followers: 1

Kudos [?]: 43 [0], given: 0

Re: combo with constraints [#permalink]  01 Feb 2008, 09:15
Following you up till the constraint part...Looking for a combo master to teach us how to do it by calculation and not by hand
Director
Joined: 01 Jan 2008
Posts: 630
Followers: 3

Kudos [?]: 121 [0], given: 1

Re: combo with constraints [#permalink]  01 Feb 2008, 09:25
marcodonzelli wrote:
An engagement team consists of a project manager, team leader and four consultants. There are 2 candidates for the position of proj.manager, 3 for the position of team leader and 7 for 4 consultants slots. If 2 of the 7 consultants refuse to be on the same team, how many different team are possible?

25
35
150
210
300

2C1*3C1*(5C4+5C3*2C1)=2*3*(5+10*2)=6*25=150 -> C
Director
Joined: 01 May 2007
Posts: 804
Followers: 1

Kudos [?]: 43 [0], given: 0

Re: combo with constraints [#permalink]  01 Feb 2008, 09:27
Can you explain this part is words:

(5C4+5C3*2C1)
Manager
Joined: 01 Jan 2008
Posts: 229
Schools: Booth, Stern, Haas
Followers: 1

Kudos [?]: 39 [0], given: 2

Re: combo with constraints [#permalink]  01 Feb 2008, 09:35
jimmyjamesdonkey wrote:
Can you explain this part is words:

(5C4+5C3*2C1)

yes, can you explain?
Director
Joined: 01 May 2007
Posts: 804
Followers: 1

Kudos [?]: 43 [0], given: 0

Re: combo with constraints [#permalink]  01 Feb 2008, 09:55
Very cool. Thanks. +1
Re: combo with constraints   [#permalink] 01 Feb 2008, 09:55
Similar topics Replies Last post
Similar
Topics:
Project Analyst or Team Leader Operations ? 0 12 Jul 2013, 10:11
Project Analyst or Team Leader Operations ? 1 12 Jul 2013, 10:16
Project Analyst or Team Leader Operations ? 0 12 Jul 2013, 10:17
Project Analyst or Team Leader Operations ? 1 12 Jul 2013, 10:17
Team management experience 3 27 Oct 2013, 07:11
Display posts from previous: Sort by