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

 It is currently 03 May 2015, 15:20

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

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

# Coach Miller is filling out the starting lineup for his

Author Message
TAGS:
Director
Joined: 07 Nov 2004
Posts: 694
Followers: 4

Kudos [?]: 29 [0], given: 0

Coach Miller is filling out the starting lineup for his [#permalink]  17 Jan 2005, 13:40
Coach Miller is filling out the starting lineup for his indoor soccer team. There are 10 boys on the team, and he must assign 6 starters to the following positions: 1 goalkeeper, 2 on defense, 2 in midfield, and 1 forward. Only 2 of the boys can play goalkeeper, and they cannot play any other positions. The other boys can each play any of the other positions. How many different groupings are possible?

a) 60
b) 210
c) 2,580
d) 3,360
e) 151,200
VP
Joined: 18 Nov 2004
Posts: 1442
Followers: 2

Kudos [?]: 20 [0], given: 0

Getting 112 ways...ans not in the list :?
Director
Joined: 07 Jun 2004
Posts: 614
Location: PA
Followers: 3

Kudos [?]: 276 [0], given: 22

I am getting 3360 Answer D

G what is the OA
Intern
Joined: 04 Jan 2005
Posts: 5
Followers: 0

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

i got 3360 too...
2c1*8c2*6c2*4c1
VP
Joined: 18 Nov 2004
Posts: 1442
Followers: 2

Kudos [?]: 20 [0], given: 0

It is not clear to me how order of picking 2 on defense, 2 in midfield etc matters, for me it was just number of ways for creating a team by picking 1 goalkeeper out of 2 i.e. 2C1 way and rest of 5 members from 8 ppl, in 8C5. Total of 112 ways
Director
Joined: 21 Sep 2004
Posts: 615
Followers: 1

Kudos [?]: 7 [0], given: 0

2c1*8c2*6c2*4c1
but taking like this my question is how are we distinguishing between the goal keepers and the rest in the sense.. the 2 eligible goal keepers cannot play the other positions where as allt he other can..
VP
Joined: 18 Nov 2004
Posts: 1442
Followers: 2

Kudos [?]: 20 [0], given: 0

gayathri wrote:
OA is D

I guess I still don't get it, how order of picking is imp in this ques. Can someone explain ?
Director
Joined: 31 Aug 2004
Posts: 606
Followers: 3

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

vprabhala,

When you consider the first choice 2C1 to select the goalkeepers then you put then out of the pool in filling the next position in 8C2 ways. We do not care wo they really are, just that 2 of them are allocated to this job and then are not part of the remaining players choice.
Manager
Joined: 15 Jul 2004
Posts: 75
Location: London
Followers: 1

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

banerjeea_98 wrote:
It is not clear to me how order of picking 2 on defense, 2 in midfield etc matters, for me it was just number of ways for creating a team by picking 1 goalkeeper out of 2 i.e. 2C1 way and rest of 5 members from 8 ppl, in 8C5. Total of 112 ways

banerjeea_98, you are OK so far, but you have not finished: you need to arrange those 5 you pick for the team in their categories: 5C3 * 3C2 *1C1.

So total 2C1 * 8C5 * 5C2 * 3C2 1*1 = 112 * 30 = 3360
Director
Joined: 21 Sep 2004
Posts: 615
Followers: 1

Kudos [?]: 7 [0], given: 0

twixt wrote:
vprabhala,

When you consider the first choice 2C1 to select the goalkeepers then you put then out of the pool in filling the next position in 8C2 ways. We do not care wo they really are, just that 2 of them are allocated to this job and then are not part of the remaining players choice.

yup makes sense.thanks twixt.
Similar topics Replies Last post
Similar
Topics:
3 Jim filled his dog's bowl with 80 dog food pellets. Starting 2 25 May 2014, 14:01
Filling out Ethnicity on Application 0 12 Sep 2011, 08:13
19 A Coach is filling out the starting lineup for his indoor 29 25 Oct 2009, 16:43
3 Although the batting coach conceded the new lineup, in which 16 09 Jun 2009, 07:23
7 Coach Miller is filling out the starting lineup for his 18 25 Dec 2007, 15:44
Display posts from previous: Sort by