Coach Miller is filling out the starting lineup for his

Oldest

Best Reply

Author

Message

TAGS:

Manager

Joined: 15 Jul 2004

Posts: 82

Followers: 3

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

Coach Miller is filling out the starting lineup for his [#permalink]

09 Apr 2005, 01:19

00:00

Question Stats:

0% (00:00) correct

0% (00:00) wrong

based on 0 sessions

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
_________________

===========================
Let us make hay while the sun shines.
Don Quixote. Part i. Book. iii. Chap. xi.

SVP

Joined: 30 Sep 2004

Posts: 1547

Location: Germany

Followers: 4

Kudos [?]: 15 [0], given: 0

[#permalink]

09 Apr 2005, 02:20

take 1 out of 2 => 2c1
take 5 out of 8 => 8c5
that are the 6 starters

then out of the 6 starters take 1 as goalkeeper and 2 as defense (=>5c2) and 2 as midfield (=>3c2) and 1 as forward

=> 2c1*8c5*1*5c2*3c2*1
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Director

Joined: 19 Feb 2005

Posts: 508

Location: Milan Italy

Followers: 1

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

[#permalink]

09 Apr 2005, 02:28

Christoph, it seems that your answer is not even an option.
BTW, my reasoning:
2 possibilities for gk
8c2 for position 1
6c2 for position 2
4c1 for position 3
which is= 3360
my answer is
D 3,360

SVP

Joined: 30 Sep 2004

Posts: 1547

Location: Germany

Followers: 4

Kudos [?]: 15 [0], given: 0

[#permalink]

09 Apr 2005, 02:36

thearch wrote:

Christoph, it seems that your answer is not even an option.
BTW, my reasoning:
2 possibilities for gk
8c2 for position 1
6c2 for position 2
4c1 for position 3
which is= 3360
my answer is
D 3,360

why? 2c1=2 8c5=56 1=1 5c2=10 3c2=3 1=1 multiply all = 3360, is it ?
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Director

Joined: 19 Feb 2005

Posts: 508

Location: Milan Italy

Followers: 1

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

[#permalink]

09 Apr 2005, 02:42

sorry, I miscalculated. :oops:

Happy to see different ways to approach the same problem

SVP

Joined: 30 Sep 2004

Posts: 1547

Location: Germany

Followers: 4

Kudos [?]: 15 [0], given: 0

[#permalink]

09 Apr 2005, 02:50

thearch wrote:

sorry, I miscalculated. :oops:

Happy to see different ways to approach the same problem

_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

Intern

Joined: 29 Mar 2005

Posts: 38

Followers: 0

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

[#permalink]

11 Apr 2005, 13:31

What does 8c1 mean? I see the #c# a lot in these forums on probability questions, but don't know what it refers to. Can someone please explain? thx
_________________

<a href="http://www.thegreenrabbit.ca"> Who did Britany shag this week?</a>

Director

Joined: 19 Feb 2005

Posts: 508

Location: Milan Italy

Followers: 1

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

[#permalink]

11 Apr 2005, 13:37

8c2 stands for 8!/(2!6!)
that is the general formula for combinations n!/(n-r!r!).
You can find more in various stickies posted at the top of the Math forum.

Joined: 13 Jun 2004

Posts: 1135

Location: London, UK

Schools: Tuck'08

Followers: 5

Kudos [?]: 14 [0], given: 0

[#permalink]

11 Apr 2005, 20:22

I found D doing 8P5/2!
Interesting...Honnestly, I have no idea what's the logic behind it :roll:

[#permalink] 11 Apr 2005, 20:22

		Similar topics	Author	Replies	Last post
Similar Topics:		Filling out the application form	gmatblast	2	07 Nov 2004, 09:23
		Coach Miller is filling out the starting lineup for his	gayathri	9	17 Jan 2005, 14:40
	2	Coach Miller is filling out the starting lineup for his	jimjohn	18	25 Dec 2007, 16:44
	1	Although the batting coach conceded the new lineup, in which	mbaMission	14	09 Jun 2009, 08:23
	3	A Coach is filling out the starting lineup for his indoor	rvthryet	21	25 Oct 2009, 17:43

Coach Miller is filling out the starting lineup for his

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

Coach Miller is filling out the starting lineup for his

Coach Miller is filling out the starting lineup for his

Main navigation

GMAT Resources

Partners

MBA Resources